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

The possible additional amount David will spent is
`c \leq 17`

Solution:

Let "c" be the additional amount in dollars that David will spent

Given that,

David will spend at most $39 on gifts. So far, he has spent $22

Here, "at most " means that "less than or equal to"

Therefore, we can say,

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

Thus a inequality is framed as,

Amount David has spent + possible additional amount
`\leq` 39

`22 + c \leq 39`

Solve the inequality for "c"

Add -22 on both sides

`-22+22+c\leq 39-22\\\\c\leq 17`

The maximum amount he could spend is $17

The possible amount spent is less than or equal to 17 dollars