Question

A new gaming chair costs $239.87. You have already saved $106.37 and earn $44.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

A. 44.5w + 106.37 = 239.87; w = 3
B. 44.5w − 106.37 = 239.87; w = 9
C. 44.5w − 239.87 = 106.37; w = 9
D. 44.5 + 106.37w = 239.87; w = 3

Answer 1

The answer to this question is A.

Answer 2

A. 44.5w + 106.37 = 239.87; w = 3

Explanation:

You want an equation and solution for finding the number of weeks (w) required to earn enough for a $239.87 gaming chair if you have saved $106.37 and earn $44.50 per week.

Saved

The total amount saved will be the sum of the amount already saved ($106.37) and the amount of earnings. We want that total to be $239.87.

Earnings are $44.50 per week. After w weeks, they total 44.50w. Then the amount saved will be ...

earnings + already saved = total savings

44.50w + 106.37 = 239.87

Solution

We can find the value of w by subtracting 106.37 from this equation:

44.50w = 133.50

w = 3 . . . . . . . . . . . . . . . divide by 44.50

The equation and solution are ...

44.5w +106.37 = 239.87; w = 3 . . . . . . . matches choice A

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