Question

Lynne bought a bag of grapefruit , 1 5/8 pounds of apples, and 2 1/6 pounds of bananas. The total weight of her purchases was 7 1/2 pounds how much did thebag of grapefruit weigh

Answer 1

The\ bag\ of\ grapefruit\ weigh\ is\ \frac{89}{24}\ pounds .

Explanation:

As given

Lynne bought a bag of grapefruit .

`1 (5)/(8) \ pounds\ of\ apples,`

i.e

`(13)/(8) \ pounds\ of\ apples,`

`2 (1)/(6) \ pounds\ of\ apples,`

i.e

`(13)/(6) \ pounds\ of\ apples,`

`Total\ weight\ of\ Lynne\ purchase = 7 (1)/(2)\ pounds`

i.e

`Total\ weight\ of\ Lynne\ purchase = (15)/(2)\ pounds`

`The\ bag\ of\ grapefruit\ weigh + (13)/(8) +(13)/(6) = (15)/(2)`

`The\ bag\ of\ grapefruit\ weigh = (15)/(2) - (13)/(8) - (13)/(6)`

L.C.M of (2,8,6) = 24

Than the equation becomes

`The\ bag\ of\ grapefruit\ weigh = (15* 12 - 13* 3 - 13* 4)/(24)`

`The\ bag\ of\ grapefruit\ weigh = (180 - 39 - 52)/(24)`

`The\ bag\ of\ grapefruit\ weigh = (89)/(24)\ pounds`

`Therefore\ the\ bag\ of\ grapefruit\ weigh\ is\ (89)/(24)\ pounds`