te has some stickers. If she gives her friends 70 stickers each, she will have 30 stickers left. If she gives them 80 stickers each, she will be short of 60 stickers.View all question partsHow many stickers does she have?
Question
te has some stickers. If she gives her friends 70 stickers each, she will have 30 stickers left. If she gives them 80 stickers each, she will be short of 60 stickers.View all question partsHow many stickers does she have?
Solution
Let's solve this problem step by step:
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Let's denote the total number of stickers that she has as 'S' and the number of her friends as 'F'.
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From the first condition, we know that if she gives her friends 70 stickers each, she will have 30 stickers left. This can be written as: S - 70F = 30.
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From the second condition, we know that if she gives her friends 80 stickers each, she will be short of 60 stickers. This means she needs 60 more stickers to give 80 to each friend. This can be written as: S - 80F = -60.
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Now we have a system of two equations, and we can solve it. Subtract the second equation from the first one, we get: 10F = 90, so F = 9.
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Substitute F = 9 into the first equation, we get: S - 709 = 30, so S = 30 + 709 = 660.
So, she has 660 stickers.
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