Question

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?

Answer 1

Answer:

162 caps.

Step-by-step 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.

$\frac{6x}{6}\leq \frac{975}{6}$

$x\leq 162.5$

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

Answer 2

$1000 -$25 = $975
975 / 6 = 162.5
             = 162 caps x