# Math

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Lela and pepe are playing a video game. The game scores are a ratio of 1:5. Lela completes a quest and earns 48 points. Their score ratio is now 5:9. What is pepe's score?

• Math -

If their scores are x and y, we have

x/y = 1/5
(x+48)/y = 5/9

Now just solve for y

(x+48)/y = x/y + 48/y, so

1/5 + 48/y = 5/9
48/y = 16/45
y = 135

check:
x = 27
(27+48)/135 = 75/135 = 5/9

• Math -

216

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