College

Bill and Felicia both bake cookies for a party. Bill bakes 3 times as many cookies as Felicia. Felicia bakes 24 fewer cookies than Bill. Bill bakes [tex]b[/tex] cookies and Felicia bakes [tex]f[/tex] cookies. What pair of equations can be used to determine the number of cookies Bill and Felicia bake?

A. [tex]b = 3f[/tex]
[tex]f = b - 24[/tex]

B. [tex]b = 3(f + 24)[/tex]
[tex]f = b - 24[/tex]

C. [tex]b = 3f[/tex]
[tex]f = 24 - b[/tex]

D. [tex]f = 3b[/tex]
[tex]b = f - 24[/tex]

Answer :

Answer: Below

Step-by-step explanation:

So we start off with b and f. Our first piece of information, Bill baked 3 times as many as Felicia, gives us the equation:

b = 3f

The second piece gives us the equation:

b = f + 24

We have a 3f, but no b = f + 24 in the possible answers. So:

b = f +24

b - 24 = f

Our answer is A.

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