What is the better deal ?

Algebra Level pending

Store A sells CD's for 2 dollars each if you pay a one-time fee of 104 dollars. Store B offers 12 free CDs and charges 10 dollars for each additional CD. If you want to buy 25 CD's, which store should you go to ?

Store A Doesn't matter. Same total price Store B

2 solutions

Tom Engelsman
Mar 5, 2021

Store A: $\$104 + \$2 \cdot 25 = \$154.$

Store B: $\$0 \cdot 12 + \$10 \cdot 13 = \$130.$

Hence, Store B is the better deal for 25 CDs.

§Martie On Brilliant
Mar 6, 2021

Where $c$ = the number of CD's:

${\color{#D61F06} Store}$ ${\color{#D61F06} A:}$ $\$2c$ $+$ $\$104$ $\Longrightarrow$ $\$2(25)$ $+$ $\$104$ $=$ $\boxed{\$154}$ (Store A cost) $\\$ ${\color{#3D99F6} Store}$ ${\color{#3D99F6} B:}$ $\$10$ $(c$ $-$ $12)$ $\Longrightarrow$ $\$10($ $25$ $-$ $12)$ $=$ $\boxed{\$130}$ (Store B cost) $\\$

$\$130$ $<$ $\$154$ , therefore ${\color{#3D99F6} Store}$ ${\color{#3D99F6} B}$ is the better deal in this situation

What is the better deal ?

2 solutions

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