1. The fish vendor sells 5/7 kilos of bangus for ₱72.50.If you will buy 2 1/7 kilos of bangus, how much will cost?
2. Mr. Rivera withdrew ₱7,500 from his ATM account.He spent 4/9 of the money of daughter's educational trip in manila and 3/10 of the remaining money on grocery.He spent the rest of money for 2 sacks of rice.How much did he spend for each sack of rice?
3.Lira has a flowers 2/9 are roses, and 3/7 of the remainder are sunflowers and the rest are tulips. If she has 36 tulips, how many sunflowers and roses does she have altogether?
4.Michelle was visited by her classmates when she was sick.They give 2 kilos of orange, 3 kilos of lanzones, 2/4 kilo of chico and 3/4 kilo of grapes.How many kilos of fruits were brought by her classmates?
5.Eva can finish sewing a bag in 3 1/2 hours. Edna can do the same task in only 2 1/3 hours. How fast can edna sew?
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Problem Solving:
Solutions:
1. Given: 5/7 kilos of bangus
₱72.50 - amount paid for 5/7 kilos of bangus
2 1/7 kilos of bangus bought
a. First, compute for the price of bangus per kilo.
₱72.50 ÷ 5/7 kilos = ₱72.50 × 7/5
Note: the operation was changed to multiplication and the reciprocal of the divisor was derived
b. Proceed with the multiplication.
₱72.50 × 7/5 = ₱507.50/5 = ₱101.5
c. Given that the price of bangus per kilo is ₱101.5, multiply it with 2 1/7 kilos to determine the amount that should be paid.
₱101.5 × 2 1/7 kilos = ₱101.5 × 2.142857143
Note: 2 1/7 was expressed as a decimal
d. Proceed with the multiplication.
₱101.5 × 2.142857143 = ₱217.50
Therefore, I will pay ₱217.50 for 2 1/7 kilos of bangus that I have bought.
2. Given: ₱7,500 - amount withdrawn from Mr. Rivera's account
4/9 - part of the money spent for his daughter's educational trip
3/10 - part of the money spent for the groceries
2 sacks of rice
a. First, compute for the amount spent on his daughter's educational trip
₱7,500 × 4/9 = ₱30, 000/9 = ₱3, 333. 33
b. Subtract this amount from his total money.
₱7,500 - ₱3, 333. 33 = ₱4, 166.67
c. Compute the 3/10 part of this money to determine the amount spent on groceries.
₱4, 166.67 × 3/10 = ₱12, 500.01/10 = ₱1, 250.00
d. Subtract this amount from the remaining money to determine how much he had spent for the 2 sacks of rice.
₱4, 166.67 - ₱1, 250.00 = ₱ 2, 916.67
Therefore, Mr. Rivera had spent ₱ 2, 916.67 for the 2 sacks of rice.
3. Given: 2/9 - part of the flowers that are roses
3/7 - part of the flowers that are sunflowers
36 - tulips
a. Since 2/9 of the flowers are roses then,
9/9 - 2/9 = 7/9
b. Multiply 7/9 with 3/7 which represents the number of sunflowers and tulips. Express the answer in its lowest term.
7/9 × 3/7 = 21/63 = 3/9
Therefore, 3/9 of the flowers are sunflowers.
c. Find for the number of tulips.
7/9 - 3/9 = 4/9
Given that the tulips are 36 which is 4/9 of the total number of flowers then,
4/9N = 36 where N represents the total number of flowers
9[4/9N = 36]9
4N = 324
4 4
N = 81
Therefore, there are 81 flowers in all.
d. Find the number of roses.
2/9 (81) = (81)(2)/9 = 162/9 = 18
Therefore, there are 18 roses.
e. Find the number of sunflowers.
3/9 (81) = (81)(3)/9 = 243/9 = 27
Therefore, there are 27 sunflowers.
f. Find the sum of roses and sunflowers.
18 roses + 27 sunflowers = 45 roses and sunflowers
Therefore, there are 45 roses and sunflowers.
4. Given: 2 kilos of oranges
3 kilos of lanzones
2/4 kilo of chicos
3/4 kilo of grapes
a. Add all the given to determine the amount of fruits brought by Michelle's classmates.
2 + 3 + 2/4 + 3/4 = 5 + 5/4
b. Express 5/4 as a mixed number to change it in its lowest term.
5/4 = 1 1/4
c. Compute for the total amount of fruits in kilos.
5 + 1 1/4 = 6 1/4 kilos
Therefore, Michelle's classmates brought her 6 1/4 kilos of fruits.
5. Given: 3 1/2 hours for Eva
2 1/3 hours for Edna
a. Subtract 3 1/2 from 2 1/3 to know how fast can Edna sew compared to Eva.
2 1/3 - 3 1/2
b. Express the mixed numbers into improper fractions.
2 1/3 = (2)(3) + 1/3 = 6 + 1/3 = 7/3
3 1/2 = (2)(3) + 1/2 = 6 + 1/2 = 7/2
c. Express the improper fractions as similar fractions by using their LCD which is 6.
7/3 = (7)(2)/6 = 14/6
7/2 = (7)(3)/6 = 21/6
d. Proceed with the subtraction.
21/6 - 14/6 = 5/6
Therefore, Eva saw 5/6 hours longer than Edna.
Keywords: problem solving, fractions, decimals
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