Question

When brought a bag of grapefruit 1 1/8 pound of apples and two 3/16 pounds of bananas the total weight of the of her purchase was 7 1/2 pounds how much did the bag of grapefruit weigh

Answer 1

The bag of grapefruit weighed
`4(3)/(16) \ pounds`.

Explanation:

Given:

Weight of apples =
`1 (1)/(8) \ pounds`

`1 (1)/(8) \ pounds` can be Rewritten as
`(9)/(8) \ pounds`

Weight of bananas =
`2(3)/(16) \ pounds`

`2(3)/(16) \ pounds` can be Rewritten as
`(35)/(16) \ pounds`

Total Weight =
`7(1)/(2) \ pounds`

`7(1)/(2) \ pounds` can be Rewritten as
`(15)/(2) \ pounds`

We need to find the weight of the bag of grapefruit.

Weight of the bag of grapefruit can be calculated by Subtracting Weight of apples and Weight of bananas with Total Weight.

Weight of the bag of grapefruit=
`(15)/(2)-(35)/(16)-(9)/(8)`

Now We will make the denominator common using LCM method.

Weight of bag of grapefruit =
`(15*8)/(2*8)-(35)/(16)-(9*2)/(8*2)= (120)/(16)-(35)/(16)-(18)/(16)=(120-35-18)/(16)= (67)/(16)= 4(3)/(16) \ pounds`

Hence the Weight of the bag of grapefruit is
`4(3)/(16) \ pounds`