Question

Alex puts 1/4 of his money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left, how much did she have at first?

Answer 1

Answer:

$40

Step-by-step explanation:

Let the total money be x

So according to the question

1/4 of x is put in the savings account and 1/2 of the rest is used to pay her sister and after subtracting all this from the total amount we are left with $15.

The amount put in the savings account is x/4

The part which is left is (x-x/4)=3x/4

Therefore the amount paid to her sister is 1/2(3x/4)=3x/8

So we can form the equation as

Total money - expenses = 15

x - x/4 - 3x/8 = 15

8x/8 - 2x/8 - 3x/8 = 15

3x/8=15

3x=15×8

x=120/3

x=40

Therefore the total amount of money with Alex is $40

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