Question

Wade wants to buy sweaters . He has $ 175 and each sweater costs $ 12.00 . Write and solve an inequality to find how many sweaters he can buy and still have at least $ 55 .

Answer 1

Wade can buy at most 10 sweaters and still have at least $55 left.

Step-by-step explanation:

To find out how many sweaters Wade can buy and still have at least $55, we can set up an inequality.

Let's assume Wade can buy 'x' sweaters.

The cost of each sweater is $12, so the total cost of 'x' sweaters would be 12x.

Wade starts with $175 and wants to have at least $55 remaining. So, we can set up the inequality: 175 - 12x ≥ 55.

To solve this inequality, we can subtract 175 from both sides: -12x ≥ 55 - 175.

Simplifying the equation, we have: -12x ≥ -120.

To isolate 'x', we divide both sides by -12. But remember, when we divide by a negative number, we need to reverse the inequality sign. So, the inequality becomes: x ≤ -120 ÷ -12.

When we divide -120 by -12, we get x ≤ 10.

Therefore, Wade can buy at most 10 sweaters and still have at least $55 left.

Answer 2

Amount of money in the hand of Wade = $175
Cost of each sweater = $12
Amount of money that needs to be in the hand of Wade after buying sweater = $55
Let us assume the number of sweaters that Wade can buy = x
Then
12x + 55 = 175
This is the inequality equation that has to be solved to find the number of sweaters that Wade can buy.
So
12x + 55 = 175
12x = 175 -55
12x = 120
x = 120/12
= 10
So Wade can buy a total of 10 sweaters and still have $55 in his hand. I hope the procedure of doing this problem is clear to you.