Lexi and Maria had $250 altogether. After Lexi spent25of her money and Maria spent $40, they had the same amount of money left. How much money did Lexi have in the beginning?

Lexi's --- x

Maria's --- 250-x

Lexi spent 2/5 of x, so she has 3x/5 left
Maria spends 40, so she has 250-x-40 or 210-x left

3x/5 = 210-x
times 5 to get rid of fractions
3x = 1050 - 5x
8x = 1050
x =131.25

So Lexi had $131.25 and Maria had 118.75

Thx

To solve this problem, we can set up an equation. Let's assume that Lexi had x dollars in the beginning.

According to the problem, after Lexi spent $25, she had x - 25 dollars left. Similarly, after Maria spent $40, she also had x - 25 dollars left.

Since both of them had the same amount of money left, we can set up the equation:

x - 25 = x - 40

To solve this equation, we can simplify it:

x - x = 40 - 25
0 = 15

This is not possible, as we cannot have 0 = 15. Therefore, it means that our initial assumption, that Lexi had x dollars, must be incorrect.

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