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Mitch is buying candy bars for his friends. He wants to give 2 bars to each friend and have 10 spare bars. He can afford to buy 24 candy bars.

What is the algebraic sentence that will help him figure out how many friends he can treat?

Let [tex]f[/tex] be the number of friends. Click on the correct answer.

A. [tex]2f + 10 = 24[/tex]
B. [tex]2f - 10 = 24[/tex]
C. [tex]\frac{1}{2}f + 10 = 24[/tex]
D. [tex]\frac{1}{2}f - 10 = 24[/tex]

Answer :

Let [tex]$f$[/tex] be the number of friends. Mitch uses candy bars in two ways:

1. He gives [tex]$2$[/tex] candy bars to each friend, which amounts to [tex]$2f$[/tex] bars.
2. He wants to have [tex]$10$[/tex] spare bars.

Since the total number of candy bars is [tex]$24$[/tex], we set up the equation by adding the bars given to friends and the spare bars:

[tex]$$
2f + 10 = 24
$$[/tex]

This is the algebraic sentence that will help determine how many friends he can treat.

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