Question

school X and school Y play each other in a competition. School X has eight more points that school Y . School X has three times as many points as school Y. How many points does each school have?

Answer 1

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Define x and y :
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Let x be the points school x scored.
Let y be the points school y scored.

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Construct equations :
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School X has eight more points that school Y
x = y + 8

School X has three times as many points as school Y.
x = 3y

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Solve for x and y :
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x = y + 8 ------------------ (1)
x = 3y ------------------ (2)

Sub (2) into (1)

3y = y + 8
2y = 8
y = 4

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Find school x and y :
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School y has 4 points.
School x has 4x3= 12 points

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Answer: School x has 12 points and school y has 4 points.
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Answer 2

y = 4
x = 12
Why: 4 x 3 = 12
4 + 8 = 12