1. 1A class of 43 pupils held a Christmas Party and bought the following eats: 3 gallons of ice cream at P 95 per gallon, 43 sandwiches at P4 per sandwich, 43 bottles of softdrinks at P3 each, they also bought decorations worth P145. What was the share of each pupil in the expenses? GIVEN: 43 pupils 3 gallons ice cream P 95 per gallon 43 S andwiches P 4 each 43 softdrinks P 3 each Decorations worth P 145 REQUIRED: Share of each pupil in the expenses SOLUTION 1. 3 x P 95 = P285 2. 43 x P 4 = P 172 3. 43 x P3 = P129 4. P 145 ADDING (1) (2) (3) & (4) 285 + 172 + 129 + 145 Total Expenses = P 731 To get the share of each pupil divide the total expenses to the 43 pupils P 731 ÷ 43 = P 17 share of each pup il 2. An orchard owner has 57 mango trees. This year, the orchard owner picked 26 crates of mangoes from each tree and sold the mangoes at P850 per crate. If the owner spent P347,650 for the care of the orchard, how much did he gain? GIVEN 57 mango trees 26 crates of mangoes harvested each tree P850 price of mango per crate P347,650 expenses REQUIRED How much did he gain? SOLUTION 1. 57 x 26 = P 1,482 total crates of mangoes 2. 1482 x P 850 = P 1,259,700 total s ales of mangoes 3. P 1,259,700 ± P 347,650 = P 912,050 ga in of the owner
Transcript
8/7/2019 A class of 43 pupils held a Christmas Party and bought the following eats
1. 1A class of 43 pupils held a Christmas Party and bought the following eats: 3
gallons of ice cream at P 95 per gallon, 43 sandwiches at P4 per sandwich, 43bottles of softdrinks at P3 each, they also bought decorations worth P145.What was the share of each pupil in the expenses?
GIVEN:
43 pupils3 gallons ice cream P 95 per gallon43 Sandwiches P 4 each43 softdrinks P 3 eachDecorations worth P 145
REQUIRED:
Share of each pupil in the expenses
SOLUTION
1. 3 x P 95 = P2852. 43 x P 4 = P1723. 43 x P3 = P1294. P 145
ADDING (1) (2) (3) & (4)
285 + 172 + 129 + 145
Total Expenses = P 731
To get the share of each pupil divide the total expenses to the 43 pupils
P 731 ÷ 43 = P 17 share of each pupil
2. An orchard owner has 57 mango trees. This year, the orchard owner picked26 crates of mangoes from each tree and sold the mangoes at P850 per crate.If the owner spent P347,650 for the care of the orchard, how much did hegain?
GIVEN
57 mango trees26 crates of mangoes harvested each treeP850 price of mango per crateP347,650 expenses
REQUIRED
How much did he gain?
SOLUTION
1. 57 x 26 = P 1,482 total crates of mangoes2. 1482 x P 850 = P 1,259,700 total sales of mangoes3. P 1,259,700 ± P 347,650 = P 912,050 gain of the owner
8/7/2019 A class of 43 pupils held a Christmas Party and bought the following eats
3. A poultry farm has 850 egg payers laying an average of 7 eggs every 10 dayseach. The owner sells the eggs at P110 per 100 eggs. If he spend P5 per layer
every 10 days, how much will he gain in 40 days?
GIVEN
850 egg layers7 eggs layed every 10 days each layer P 110 per 100 eggsP 5 expenses per layer every 10 days
REQUIRED
How much he gain in 40 days?
SOLUTION
850 x 7 = 5,950 eggs layed in 10 days5,950 x 4 = 23,800 eggs layed in 10 days850 x P 5 = P 4,250 expenses in 10 daysP 4,250 x 4 = P 17,000 expenses in 40 days23,800 ÷100 = 238 hundreds of eggsP110x238 = P 26,180 total sales26,180 ± 17,000Answer = P 9,180 total gain in 40 days
4. A school class had a pleasure trip to a resort and paid P4,800 for transportation and P1,200 for food. If each member of the class contributedP125 for the trip, how many students were there in the class?
GIVEN
P4,800 Transportation ExpensesP1,200 FoodP 125 Contribution of each student
REQUIRED
Number of students in the class
SOLUTION
P4,800 + P 1,200 = P 6,0000 total expenses
6,000 ÷ 125
Answer = 48 students
8/7/2019 A class of 43 pupils held a Christmas Party and bought the following eats
5. A vendor bought 200 mangoes for P1,000. He sold 1/10 of the mangoes for P 8
each and ½ for P 6 each. For how much must he sell each of the remainingmangoes in order for him to realize a gross profit of 1/5 of the cost of themangoes?
GIVEN
200 mangoes for P1,000P 8 sold price of 1/10 of the mangoesP 6 sold price of ½ of the mangoes
REQUIRED
Price each of the remaining mangoes to realize a grossprofit of 1/5 of the cost of themangoes.
SOLUTION
1. P1000 x 1/5 = P200 profit equivalent to 1/5 of the cost of mango2. 200 x 1/10 = 20 pieces of mangoes sold for P83. 20 x P 8 = P 160 total sale of mangoes sold for P 84. 200 x ½ = 100 pieces of mangoes sold for P 65. 100 x P 6 = P 600 total sale of mangoes sold for P 66. P 600 + P160 = P 760 total sale of mangoes sold for P 8 and P 67. 200 ± 100 ± 20 = 80 pieces of remaining mangoes8. P 1000 + P 200 ± P 760 = P 4409. P 440 ÷ 80
Answer = P 5.50 price of the remaining 80 mangoes to gain a P 200 profit
6. A family budget in a rural town contains the following expenses: Food P1,500;house rent, P800; light and water, P300; education, P600; and miscellaneous,P800; and the rest, savings. If the income is savings and how much?
GIVEN
P1500 food expensesP 800 house rentP 300 light and water P 600 educationP 800 miscellaneousP 5000 income of the family
REQUIRED
How much is the saving and what part of the income is savings.
SOLUTION
1. P1500 + P800 + P 300 + P 600 + P800 = P 4000 total expenses2. P 5000 ± P 4,000 = P 1,000 savings of the families3. 1000 / 5000 = 1/5 fractional part of the income
8/7/2019 A class of 43 pupils held a Christmas Party and bought the following eats
7. A farm of 3 1/3 hectares was expected to produce 90 cavans of palay per
hectare. However, a typhoon struck and only 200 cavans of palay wereharvested from the whole farm. What fractional part of the harvest was lostper hectare?
GIVEN
3 1/3 hectares of farm90 cavans production for hectare200 cavans only harvested due to typhoon
REQUIRED
Fractional part of the harvest lost per hectare
SOLUTION
1. 200 ÷ 3 1/3= 200 ÷ 10/3= 200 ÷ 3/10= 60 cavans harvested per hectare, due to typhoon
2. 90 ± 60 = 30 cavans difference of harvest
3. 30 / 90 = 1/3Answer = 1/3 Fractional part of the harvest lost per hectare
8. A fruit dealer bought 150 kilos of apples for P15.50 per kilo. She found outthat the 150 kilos contained 589 apples. There were 36 spoiled apples andunsalable but she was able to sell the rest of the apples at an average of P5.60per apple. Did she gain and how much?
GIVEN
84.059 sum of three numbers46.27 sum of first and second numbers64.459 sum of second and third numbers
REQUIRED
Find the numbersSOLUTION
Let A, B, C the numbers1. A + B = 46.27 B = 46.27 ± A2. B + C = 62.459 C = 62.459 ± B3. A + B + C = 84.059
C = 84.059 ± A ± B= 84.059 ± (46.27-B) ± B= 84.059 ± 46.27 + B ± B
C = 37.789
B = 62.459-c= 62.459 ± 37.789
B = 24.67
A = 46.27 ± B= 46.27 ± 24.67
A = 21.60
CHECKING:
A + B + C = 84.05921.6 + 24.67 + 37.789 = 84.05984.059 = 84.059
8/7/2019 A class of 43 pupils held a Christmas Party and bought the following eats
9. A travelling salesman is given a travelling allowance of P1,000 a month and12% on all sales he makes. Last month, he made a total sales of P40,000.How much would he remit to his company after deducting his travelling
allowance and commission?
GIVEN
150 kgs. of apples for P15.50 perkilo589 pieces equivalent to 150 kgs. of apples36 pieces spoiled applesP5.60 price per piece of good apple
REQUIRED
How much did she gain
SOLUTION
1. 150 x P15.50 = P2,325 purchased amount of 150 kgs. of apples2. 589 ± 36 = 553 pieces of remaining good apples3. 553 x P 5.60 = P 3,096.8 sold amount of good apples4. 3,096.8 ± 2,325
Answer = P 771.8 amount gained
10. A handtractor dealer pays P5,375 per hand tractor. He wants to realize a 20%gross profit on cost. At what price should he list each tractor so that he cangive a trade discount of 25% off the list price?
GIVEN
P 1,000 travelling allowance12% commission on all salesP 40,000 total sales he made last month
REQUIRED
Amount to be remit after deducting his allowance and commission
SOLUTION
1. P40,000 x 12%= 4,000 x .12P 4,800 commission on total sales
2. P 4,800 + P 1,0000= P 5,800 commission and allowance
3. P 40,000 ± P 5,800
Answer = P 34,200 amount to be remit
8/7/2019 A class of 43 pupils held a Christmas Party and bought the following eats
