Question

Lynee bought some produce. She bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchase was 7 1/2 pounds. How much did the bag of grapefruit weight?

Answer 1

Given:

Lynee bought a bag of grapefruit, $1\dfrac{5}{8}$ pounds of apples, and $2\dfrac{3}{16}$ pounds of bananas.

The total weight of her purchase was $7\dfrac{1}{2}$ pounds.

To find:

The weight of the bag of grapefruit.

Solution:

We have,

Weight of apples = $1\dfrac{5}{8}$ pounds.

Weight of bananas = $2\dfrac{3}{16}$ pounds.

Total weight of her purchase = $7\dfrac{1}{2}$ pounds.

Let x be the weight of the bag of grapefruit.

$x+1\dfrac{5}{8}+2\dfrac{3}{16}=7\dfrac{1}{2}$

$x+\dfrac{1(8)+5}{8}+\dfrac{2(16)+3}{16}=\dfrac{7(2)+1}{2}$

$x+\dfrac{13}{8}+\dfrac{35}{16}=\dfrac{15}{2}$

$\dfrac{16x+26+35}{16}=\dfrac{15}{2}$

Multiply both sides by 16.

$16x+61=120$

$16x=120-61$

$16x=59$

$x=\dfrac{59}{16}$

$x=3\dfrac{11}{16}$

Therefore, the weight of a bag of grapefruit is $3\dfrac{11}{16}$ pounds.