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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

2 Answers

3 votes
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
User JSobell
by
7.8k points
4 votes

Answer:

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.

User Valar
by
8.6k points