Question

Lynne bought a bag of grapefruit ,1 5/8 of apples ,and 2 3/16 pounds of bananas.The total weight of her purchases was 7 1/2 .How much did the bag of grapefruit weigh

Answer 1

The weight of bag of grapefruit =
`3(27)/(100)` pounds

Explanation:

The total weight of apples purchased = 1 5/8 pounds

Now,
`1(5)/(8)   = 1+ (5)/(8) = 1 + 0.625  =1.625`

So, the weight of apples brought = 1.625 pounds.

The total weight of bananas purchased = 2 3/16 pounds

Now,
`12(3)/(16)   = 2+ (3)/(16) = 2+ 0.1875  =2.1875`

So, the weight of bananas brought = 2.1875 pounds.

Let us assume the total weight of grapefruit weight = m pounds

Now, total weight = 7 1/12 pounds = 7.0833

⇒ Weight of ( Apples + Banana + Grapefruit) = Total Weight

⇒1.625 pounds + 2.1875 pounds + m = 7.0833 pounds

or, m = 7.0833 - 3.8125 = 3 .27

or, m = 3.27

Now,
`3.27  = 3 + 0.27  = 3 + (27)/(100)   = 3(27)/(100)`

Hence. the weight of bag of grapefruit =
`3(27)/(100)`