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Rena and Grace like to share stickers. If Rena gives 60 stickers to Grace, the ratio of Rena to Grace's stickers will be 1 : 3. If Rena gives 70 stickers to Grace, their ratio will be 1 : 7. How many stickers does Rena have?

User Ben Flynn
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2 Answers

2 votes

Answer:Rena has 80 stickers.

User Ihmpall
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4 votes

Answer:

No answer.

Explanation:

Let's solve this problem step by step.

First, we know that when Rena gives 60 stickers to Grace, the ratio of Rena's stickers to Grace's stickers is 1:3.

This means that if we represent the number of stickers Rena has as x, then the number of stickers Grace has is 3x (since the ratio is 1:3).

Next, we're given that when Rena gives 70 stickers to Grace, the ratio becomes 1:7.

Using the same logic, we can say that if Rena had x stickers initially, after giving 70 stickers to Grace, Rena will have (x - 70) stickers, and Grace will have 7 times that amount, which is 7(x - 70).

Now, we can set up an equation based on the information given:

(x - 70) / 7(x - 70) = 1/7

We can simplify this equation by multiplying both sides by 7(x - 70) to eliminate the denominators:

(x - 70) = x - 70

Now, we can solve for x by simplifying the equation:

x - 70 = x - 70

When we subtract x from both sides, the x terms cancel out:

-70 = -70

This equation is true, which means that x can be any value. In other words, Rena can have any number of stickers.

Therefore, we cannot determine the exact number of stickers Rena has based on the information given.

User HymnZzy
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