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

To find Lela's original score, set up a proportion and solve for 'x'. Then calculate Lela's original score by multiplying 'x' by 2.

Step-by-step explanation:

To find Lela's original score, we first need to set up a proportion using the given ratios. Let's represent Lela's original score as '2x' and Pepe's original score as '5x', where 'x' is a constant.

According to the problem, the ratio of Lela's score to Pepe's score after completing a quest is 7:10. This can be written as (2x + 12) / (5x) = 7/10.

To solve this proportion, we can cross-multiply and then solve the resulting equation for 'x'.

Cross-multiplying gives us (2x + 12) * 10 = 7 * 5x.

Simplifying both sides of the equation gives us 20x + 120 = 35x.

Subtracting 20x from both sides gives us 120 = 15x.

Dividing both sides by 15 gives us x = 8.

Therefore, Lela's original score was 2x = 2 * 8 = 16.

Answer 2

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

`(L)/(P) = (2)/(5)`

Cross multiplying

`5* L=2* P`

`P=(5* L)/(2)`.................equation 1

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

`(L+12)/(P) =(7)/(10)`

Cross multiplying

`10(L+12)=7P`

Plugging value of P from equation 1

`10(L+12)= 7*(5L)/(2)`

`20L+240=35L`

`15L=240`

`L=16`

Hence the score of Leela originally was 16. Answer