Question

2.

You are going to go to the grocery store. You have $25 to spend. There are several items on your list that you must purchase and some are “for fun” items that you can purchase if you have enough money.
Your list: 2 gallons of milk for $3.50 each; 2 loaves of bread for $2.75 each; 1 pot roast for $10.45 each.
You want to also purchase some candy bars. The candy is on sale for 43 cents each. Ignore sales tax and answer the following questions.

a. Write an equation representing your shopping experience and use x for the number of candy bars.
b. Solve the equation to determine how many candy bars can you purchase?
c. How much change would you have left?

Answer 1

Part a)
`22.95+0.43x \leq 25`

Part b) The maximum number of candy bars that you can purchase is 4

Part c) The change would be
`\$0.33`

Explanation:

Part a) Write an equation representing your shopping experience and use x for the number of candy bars

Let

x -----> the number of candy bars

we know that

The inequality that represent this problem is equal to

`2(3.50)+2(2.75)+10.45+0.43x \leq 25`

`22.95+0.43x \leq 25`

Part b) Solve the equation to determine how many candy bars can you purchase?

`22.95+0.43x \leq 25`

Solve for x

Subtract 22.95 both sides

`0.43x \leq 25-22.95`

`0.43x \leq 2.05`

Divide by 0.43 both sides

`x \leq 2.05/0.43`

`x \leq 4.8`

The maximum number of candy bars that you can purchase is 4

Part c) How much change would you have left?

If you purchase 4 candy bars

then

`22.95+0.43(4)=\$24.67`

therefore

`\$25-\$24.67=\$0.33`