Lela and pepe are playing a video game. The game scores are a ratio of 1:5. Lela completes a quest and earns 48 points. Their score ratio is now 5:9. What is pepe's score?
216
its 216 bc I said so
To determine Pepe's score, let's first breakdown the information given.
Initially, the score ratio between Lela and Pepe is 1:5. This means for every 1 point Lela scores, Pepe scores 5 points.
After Lela completes a quest and earns 48 points, their score ratio becomes 5:9. This implies that for every 5 points Lela scores, Pepe scores 9 points.
Now, let's calculate Pepe's score.
Since the score ratio has changed from 1:5 to 5:9, we can infer that Lela's score has increased by a factor of 5 (from 1 to 5), which means Pepe's score has also increased by the same factor of 5.
To find Pepe's score after the change, we can set up an equation:
Pepe's initial score * 5 = Pepe's new score
Let's denote Pepe's initial score as 'x'. Therefore, we have the equation:
x * 5 = Pepe's new score
Now, Lela and Pepe's scores after the change are 48 and Pepe's new score, respectively. We can create another equation using this information:
Lela's new score = 48
Pepe's new score = 9
Plugging these values into the equation, we get:
x * 5 = 9
To solve for x, we divide both sides of the equation by 5:
x = 9/5
Hence, Pepe's initial score (before Lela earned 48 points) is 9/5.
Now we can calculate Pepe's score after Lela has earned 48 points:
Pepe's score = Pepe's initial score * 5
Pepe's score = (9/5) * 5
Pepe's score = 9
Therefore, Pepe's score is 9.
If their scores are x and y, we have
x/y = 1/5
(x+48)/y = 5/9
Now just solve for y
(x+48)/y = x/y + 48/y, so
1/5 + 48/y = 5/9
48/y = 16/45
y = 135
check:
x = 27
(27+48)/135 = 75/135 = 5/9