Question

Lela and pepe are playing a video game. The ratio of Lela's game score to pepe score is 1:5. Lela completes a quest and gain 48 bonus points. Their ratio is now 5:9. What is lela's score

Answer 1

Before the bonus points were added their scores were as follow
Pepe: 135
Lela: 27
And with the addition of those 48 points her new score is 75 points

Answer 2

75

Explanation:

The equation for the first ratios would be:

`(L)/(P)=(1)/(5)`

Where
`L` is Lela's points, and
`P` is Pepe's points.

Then, the problem states that there were added bonus points to Lela. So, the new points would be
`L+48` with a new ratio
`5:9`. The second proportion would be:

`(L+48)/(P)=(5)/(9)`

Now, we solve these two equation as a system, to find Lela's score:

`(L)/(P)=(1)/(5)\\P=5L`

Then, we replace this in the second equation:

`(L+48)/(P)=(5)/(9)\\(L+48)/(5L)=(5)/(9)\\9L+432=25L\\432=25L-9L\\432=16L\\L=(432)/(16)=27`

Therefore, Lela's score is 27+48=75.