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Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes the caps charges $6 per cap plus a $25 shipping fee. Laura has a budget of $1,000. What is the greatest number of caps she can buy?

2 Answers

4 votes
$1000 -$25 = $975
975 / 6 = 162.5
= 162 caps x
User Sanaa
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7.5k points
4 votes

Answer:

162 caps.

Explanation:

Let x be the number of caps.

We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.

We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges (
6x+25).

Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000. We can represent this information in an equation as:


6x+25\leq 1,000

Now let us solve for x.


6x+25-25\leq 1,000-25


6x\leq 975

Let us divide both sides of our inequality by 6.


(6x)/(6)\leq (975)/(6)


x\leq 162.5

Since we can not buy 0.5 of a cap, so the greatest number of caps Laura can buy is 162 caps.

User Nito
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