Answer:
The\ bag\ of\ grapefruit\ weigh\ is\ \frac{89}{24}\ pounds .
Step-by-step explanation:
As given
Lynne bought a bag of grapefruit .
[tex]1 \frac{5}{8} \ pounds\ of\ apples,[/tex]
i.e
[tex]\frac{13}{8} \ pounds\ of\ apples,[/tex]
[tex]2 \frac{1}{6} \ pounds\ of\ apples,[/tex]
i.e
[tex]\frac{13}{6} \ pounds\ of\ apples,[/tex]
[tex]Total\ weight\ of\ Lynne\ purchase = 7 \frac{1}{2}\ pounds[/tex]
i.e
[tex]Total\ weight\ of\ Lynne\ purchase = \frac{15}{2}\ pounds[/tex]
[tex]The\ bag\ of\ grapefruit\ weigh + \frac{13}{8} +\frac{13}{6} = \frac{15}{2}[/tex]
[tex]The\ bag\ of\ grapefruit\ weigh = \frac{15}{2} - \frac{13}{8} - \frac{13}{6} [/tex]
L.C.M of (2,8,6) = 24
Than the equation becomes
[tex]The\ bag\ of\ grapefruit\ weigh = \frac{15\times 12 - 13\times 3 - 13\times 4}{24} [/tex]
[tex]The\ bag\ of\ grapefruit\ weigh = \frac{180 - 39 - 52}{24} [/tex]
[tex]The\ bag\ of\ grapefruit\ weigh = \frac{89}{24}\ pounds [/tex]
[tex]Therefore\ the\ bag\ of\ grapefruit\ weigh\ is\ \frac{89}{24}\ pounds[/tex]
