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Lianne is saving to buy a DVD player that costs 2 1\2 times her weekly allowance. If she spends 3\4 of her allowance on other things, how long will she take to save the money for the DVD player?

User Ryuk Lee
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1 Answer

4 votes

Answer:

She will take 10 weeks to save the money for the DVD player

Explanation:

Let w = Lianne's weekly allowance.

The DVD player costs 2 1/2 times her weekly allowance, thus

DVD cost = 5/2w

She gets w every week but spends 3/4w on other things, thus the remaining money is

Weekly savings =w - 3/4w = 1/4w

To know the number of weeks needed, we divide the DVD cost by the weekly savings:


\displaystyle N = ((5)/(2))/((1)/(4))

Operating:


\displaystyle N = (5)/(2)*(4)/(1)

N = 10

She will take 10 weeks to save the money for the DVD player

User San Jay Falcon
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