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A new gaming chair costs $309.99. You have already saved $144.99 and earn $27.50 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.

27.5w − 144.99 = 309.99; w = 17
27.5 + 144.99w = 309.99; w = 6
27.5w − 309.99 = 144.99; w = 17
27.5w + 144.99 = 309.99; w = 6

1 Answer

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Final answer:

To determine how many weeks you must babysit to earn enough money to buy the new gaming chair, you can solve the equation 27.5w - 144.99 = 309.99. The value of w is 17, so you need to babysit for 17 weeks.

Step-by-step explanation:

To determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair, we can write and solve the equation 27.5w - 144.99 = 309.99.

We start with the amount already saved, $144.99, and then calculate the additional amount earned each week babysitting, which is $27.50.

We subtract the total cost of the gaming chair, $309.99, and set it equal to 0. By rearranging the equation and solving for w, we find that w is equal to 17.

This means you need to babysit for 17 weeks to earn enough money to buy the new gaming chair.

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