lexi and maria had $250.oo altogether. After lexi spent 2/5 of her money and Maria spent $40.00 they had the same amount of money left.How much money did lexi have in the beginning?

let Lexi have $ x

then Maria has $ (250-x)

(3/5)x = (250-x) - 40
3x/5 = 210 - x
times 5
3x = 1050 - 5x
8x = 1050
x = 131.25

Lexi had $131.25

check:
Maria had 118.75
Lexi spend (2/5) of 131.25, leaving him with (3/5)(131.25) or 78.75
Maria spend $40 of her 118.75 leaving her with 78.75
All is good!

155

To find out how much money Lexi had in the beginning, we can follow these steps:

1. Let's assume that Lexi had an amount of money represented by 'x' dollars.
2. We know that Lexi spent 2/5 of her money, which is (2/5)x dollars.
3. So, Lexi's remaining money will be (x - (2/5)x) dollars, which simplifies to (3/5)x dollars.
4. Maria spent $40.00, so her remaining money will be (250 - 40) dollars, which is 210 dollars.
5. Based on the information given, we can equate Lexi's remaining money to Maria's remaining money: (3/5)x = 210.
6. To solve for 'x', we multiply both sides of the equation by (5/3) to isolate 'x': x = (210 * (5/3)).
7. Calculating the expression (210 * (5/3)), we find that x = 350.

Therefore, Lexi had $350.00 in the beginning.