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 [tex]2:5[/tex]
So the equation will be
[tex]\frac{L}{P} = \frac{2}{5}[/tex]
Cross multiplying
[tex]5\times L=2\times P[/tex]
[tex]P=\frac{5\times L}{2}[/tex].................equation 1
Then Lela completes a quest and scores 12 bonus points. The new ratio becomes [tex]7:10[/tex]
[tex]\frac{L+12}{P} =\frac{7}{10}[/tex]
Cross multiplying
[tex]10(L+12)=7P[/tex]
Plugging value of P from equation 1
[tex]10(L+12)= 7\times\frac{5L}{2}[/tex]
[tex]20L+240=35L[/tex]
[tex]15L=240[/tex]
[tex]L=16[/tex]
Hence the score of Leela originally was 16. Answer
