Question

David will spend at most $39 on gifts. So far, he has spent $22. What are the possible additional amounts he will spend? Use c for the additional amount (in dollars) David will spend. Write your answer as an inequality solved for c

Answer 1

`c\leq \$17`

Explanation:

Let

c -----> the additional amount (in dollars) David will spend

we know that

The word " at most" in this context means "less than or equal to"

The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39

so

The inequality that represent this situation is

`22+c\leq 39`

solve for c

subtract 22 both sides

`c\leq 39-22`

`c\leq \$17`

The maximum amount he could spend is $17