Question

School X and School Y play each other in a competitio

School X has eight more points than School Y.
School X has three times as many points as School Y.
How many points does each school have?

Answer 1

School X has 12 points and School Y has 4 points.

Step-by-step explanation:

Let's use variables to represent the number of points each school has. Let's say School X has x points and School Y has y points.

According to the information given:

1. School X has eight more points than School Y, so we can write the equation x = y + 8.
2. School X has three times as many points as School Y, so we can write the equation x = 3y.

Solving the system of equations:

By substituting the value of x from equation 1 into equation 2, we get y + 8 = 3y. Simplifying, we find 2y = 8, so y = 4.

Then substituting the value of y into equation 1, we find x = 4 + 8, so x = 12.

Therefore, School X has 12 points and School Y has 4 points.

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