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Fofino [41]
3 years ago
8

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?
Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0
<span>-----------------------------------
Define x and y :
</span>-----------------------------------
<span>Let x be the points school x scored.
Let y be the points school y scored.

</span>-----------------------------------
<span>Construct equations :
</span>-----------------------------------<span>
School X has eight more points that school Y
x = y + 8

</span><span>School X has three times as many points as school Y.
x = 3y

</span>-----------------------------------
Solve for x and y :
-----------------------------------
x = y + 8 ------------------ (1)
x = 3y     ------------------ (2)
<span>
Sub (2) into (1)

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

</span>-----------------------------------
<span>Find school x and y :
</span>-----------------------------------<span>
School y has 4 points.
School x has 4x3= 12 points

</span>---------------------------------------------------------------------------------------------------------
Answer: School x has 12 points and school y has 4 points.
---------------------------------------------------------------------------------------------------------
Alja [10]3 years ago
5 0
Y = 4
x = 12
Why: 4 x 3 = 12
4 + 8 = 12
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