Question

d. $c + h = 160$

1. ethan sells e candy bars for $2.50 apiece and chloe sells c candy bars for $2.00 apiece to raise money for a school trip. ethan sold 15 fewer candy bars than chloe, but he also got a $6.00 donation. if chloe and ethan raised the same amount of money, which of the following systems could be used to find how many candy bars each sold?

a. $2c = 2.5e + 6$
$c = e - 15$
b. $2c = 2.5e + 6$
$e = c - 15$
c. $2c + 6 = 2.5e$
$c = e - 15$
d. $2c + 6 = 2.5e$
$e = c - 15$

Explanation:

Step1: Define quantity relationship

Ethan sold 15 fewer than Chloe, so $e = c - 15$.

Step2: Define money raised equality

Chloe's total: $2c$. Ethan's total: $2.5e + 6$. They are equal, so $2c = 2.5e + 6$.

Answer:

B. $2c = 2.5e + 6$
$e = c - 15$