Question

Your cousin’s birthday is this weekend. You want to buy a CD that costs $12.99 and a birthday card that costs $2.50. You have saved $25. Write an inequality to find the most money you have for other spending.

Answer 1

Given:

• Total money saved up is $25
• CD that has to be bought costs $12.99
• Birthday card has to be bought costs $2.50

To Find:

An inequality to find the most money that can be used for other spending.

Solution:

The required inequality is $x\leq 9.51$.

Explanation:

Let x denote the money I can spend for other purposes. Then x has to be less than or equal to the left over money of my savings after the CD and card are bought.

The CD and card together cost me $12.99 + 2.50 = $15.49

My savings are $25.

So, after buying the CD and card, I'll be left with $25 - 15.49 = $9.51

Thus all my other expenditure denoted by x has to be less than or equal to 9.51.

The required inequality is $x\leq 9.51$.

Answer 2

12.99+2.50=15.49
20.00-15.49= 14.51
X=CD
Y=Birthday card
Z=total
L=money left
X+Y=Z
20-z=L
(I hope this helps at least a little?)