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

Respuesta :

Answer:

The weight of bag of grapefruit  =[tex]3\frac{27}{100}[/tex] pounds

Step-by-step explanation:

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

Now, [tex]1\frac{5}{8}   = 1+ \frac{5}{8} = 1 + 0.625  =1.625[/tex]

So, the weight of apples brought = 1.625 pounds.

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

Now, [tex]12\frac{3}{16}   = 2+ \frac{3}{16} = 2+ 0.1875  =2.1875[/tex]

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, [tex]3.27  = 3 + 0.27  = 3 + \frac{27}{100}   = 3\frac{27}{100}[/tex]

Hence. the weight of bag of grapefruit  =[tex]3\frac{27}{100}[/tex]