SOLUTION: I have a word problem that I am supposed to turn in to a equation and it says "On a math test Sally scored 14 points more than Leslie the sum of their scores was 160 find their sco

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Question 851017: I have a word problem that I am supposed to turn in to a equation and it says "On a math test Sally scored 14 points more than Leslie the sum of their scores was 160 find their scores. please help me.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Let

L = Leslie's score
S = Sally's score

It tells us that "Sally scored 14 points more than Leslie" so we know

Let's call this equation 1

We're also given "the sum of their scores was 160", which means the two scores add to 160.

Let's call this equation 2

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Start with the second equation

Replace S with (the first equation is )

Now we solve for L

Now that we know L, we can use this to find S

Replace L with 73 (above we found that )

=======================================================

Summary:

and

So
Leslie's score was 73 and
Sally's score was 87

Quick Check: Notice how 87 is 14 more than 73 (87 - 73 = 14) so we have a 14 point difference. Also, the two scores add to 160: 73+87 = 160. So both conditions check out.