Sonny is shopping on the internet. He is going to buy 10 dog toys for his brother, Hank, as a gift and some additional dog toys for himself. Each dog toy costs $2.35, and Sonny can spend up to $30 in all. Which inequality can be solved for n, the number of additional dog toys Sonny can buy for himself?

Question

Sonny is shopping on the internet. He is going to buy 10 dog toys for his brother, Hank, as a gift and some additional dog toys for himself. Each dog toy costs $2.35, and Sonny can spend up to $30 in all. Which inequality can be solved for n, the number of additional dog toys Sonny can buy for himself?

a. 2.35n + 10 ≤ 30
b. 2.35 (n + 10) ≤ 30
c. 2.35 (n - 10) ≤ 30
d. 2.35n - 10 ≤ 30

Answer 1

The correct inequality is:

b. 2.35 (n + 10) ≤ 30

Explanation:

Sonny is buying 10 dog toys for his brother at $2.35 per toy, so the cost of those toys is 10 * 2.35 = $23.50.

He wants to spend no more than $30 in total, so the cost of the additional dog toys he can buy for himself would be $30 - $23.50 = $6.50.

Let n be the number of additional dog toys Sonny buys for himself. The cost of these additional dog toys would be 2.35n.

So, the inequality that represents this situation is:

2.35 (n + 10) ≤ 30