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21 November, 16:22

Shantanu bought more apples than bananas, and he bought more bananas than cantaloupes. Let a represent the number of apples Shantanu bought, let b represent the number of bananas, and let c represent the number of cantaloupes. Let's compare the expressions b+c and a. Which statement is correct?

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  1. 21 November, 16:25
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    There is not enough information to tell

    Step-by-step explanation:

    We are given that:

    a>b

    b>c

    Therefore:

    a>c

    However, we are not given enough information to draw a relationship between b+c and a.

    In order to better understand this situation, try applying values. Let a=4, b=2, and c=1.

    In this case, a > b+c. However if a = 9, b=8 and c=7, then a < b+c.

    In both stipulated cases, the given conditions are met, but no conclusion can be reached regarding the relationship between b+c and a.
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