Question

Christian and Yong had some stickers in the ratio 2:3. After Yong gave Christian 15 stickers,

Answer 1

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Question:

Christian and Yong had some stickers in the ratio 2:3.

After Yong gave Christian 15 stickers, the ratio became 5: 7. What was the total number of stickers they had?

Answer:

900

Step-by-step explanation:

Given that Christian and Yong had some stickers in the ratio 2:3.

Let Christian has 2x stickers and Yong has 3x stickers.

If Yong gave Christian 15 stickers, then Yong has 3x -15 stickers and Christian has 2x + 15.

The ratio becomes 5:7. So,

$\frac{2x+15}{3x-15} =\frac{5}{7}$

⇒$14x+105=15x-75$

⇒$-x=-180$

⇒$x=180$

The total number of stickers they had is equal to 5x = 5(180) = 900.

Thus, the answer is 900.

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