Question

Lela and Pepe are playing a video game. The ratio of Lela’s game score to Pepe's score is 2 : 5. Then Lela completes a quest and scores 12 bonus points. The new ratio becomes 7 :10. What is Lela’s score originally?

Answer 1

Answer:        Lela's original score was 16.

Step-by-step explanation:

Alright lets get started.

Suppose Lela score was L.

Suppose Pepe score was  P.

The ratio of Lela’s game score to Pepe's score is $2:5$

So the equation will be

$\frac{L}{P} = \frac{2}{5}$

Cross multiplying

$5\times L=2\times P$

$P=\frac{5\times L}{2}$.................equation 1

Then Lela completes a quest and scores 12 bonus points. The new ratio becomes $7:10$

$\frac{L+12}{P} =\frac{7}{10}$

Cross multiplying

$10(L+12)=7P$

Plugging value of P from equation 1

$10(L+12)= 7\times\frac{5L}{2}$

$20L+240=35L$

$15L=240$

$L=16$

Hence the score of Leela originally was 16.                Answer