Question

Linda will spend more than $29 on gifts. So far, she has spent $16. What are the possible additional amounts she will spend?

Use c for the additional amount (in dollars) Linda will spend.

Write your answer as an inequality solved for c.

Answer 1

c ≥ $13

Explanation:

We know that Linda will spend more than $29 on a gift.

This means that if S is the total amount she will spend on the gift, the minimum that she can spend is $29, we can write this as:

S is larger than or equal to $29

S ≥ $29

Now we know that she already spent $16, then we can write:

S = $16 + c

Where c is the additional amount she will spend.

Replacing that in our inequality we get

$16 + c ≥ $29

Now we can subtract $16 in both sides to get:

$16 + c - $16 ≥ $29 - $16

c ≥ $29 - $16 = $13

c ≥ $13

This means that she will spend at least another $13,