Answer :
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
Pepe: 135
Lela: 27
And with the addition of those 48 points her new score is 75 points
Answer:
75
Step-by-step explanation:
The equation for the first ratios would be:
[tex]\frac{L}{P}=\frac{1}{5}[/tex]
Where [tex]L[/tex] is Lela's points, and [tex]P[/tex] is Pepe's points.
Then, the problem states that there were added bonus points to Lela. So, the new points would be [tex]L+48[/tex] with a new ratio [tex]5:9[/tex]. The second proportion would be:
[tex]\frac{L+48}{P}=\frac{5}{9}[/tex]
Now, we solve these two equation as a system, to find Lela's score:
[tex]\frac{L}{P}=\frac{1}{5}\\P=5L[/tex]
Then, we replace this in the second equation:
[tex]\frac{L+48}{P}=\frac{5}{9}\\\frac{L+48}{5L}=\frac{5}{9}\\9L+432=25L\\432=25L-9L\\432=16L\\L=\frac{432}{16}=27[/tex]
Therefore, Lela's score is 27+48=75.
