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Maria is saving money to buy a bike. She has $60 and is going to save an additional $5 each week. The bike costs $125. In how many weeks will she have enough money to buy the bike?(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 60, 5, and 125. Let w represent the number of weeks.=+w=−w(b) Solve the equation in part (a) to find the number of weeks.=w

Question

Maria is saving money to buy a bike. She has 60andisgoingtosaveanadditional60 and is going to save an additional 5 each week. The bike costs $125. In how many weeks will she have enough money to buy the bike?(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 60, 5, and 125. Let w represent the number of weeks.=+w=−w(b) Solve the equation in part (a) to find the number of weeks.=w

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Solution

(a) The appropriate form of the equation would be: Initial amount + (amount saved per week * number of weeks) = total cost of the bike. In this case, it would be: 60 + 5w = 125. Here, w represents the number of weeks.

(b) To solve the equation, you need to isolate w. First, subtract 60 from both sides of the equation:

5w = 125 - 60 5w = 65

Then, divide both sides by 5 to solve for w:

w = 65 / 5 w = 13

So, Maria will have enough money to buy the bike in 13 weeks.

This problem has been solved

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