Question

Ashley has x dollars. She spends 23.50 on a shirt. She decides to keep 2/5 of what she has left, which is 13.80. How many dollars did ashley have originally?

Answer 1

Answer: x = 58

Explanation:

Based on the given conditions, formulate:

Apply Multiplicative Distribution Law:

Rearrange unknown terms to the left side of the equation:

Calculate the sum or difference:

Divide both sides of the equation by the coefficient of variable:

Convert decimal to fraction:

Cross out the common factor:

Cross out the common factor:

Cross out the common factor:

get the result:

Answer:

Answer 2

Originally She has
`\$ 58`

Explanation:

Dollars Ashley has
`=x`

She spends
`\$23.50` on a shirt.

Remaining amount
`=x-23.5`

`(2)/(5)\ of\ (x-23.5)=(2)/(5)* (x-23.5)\\\\(2)/(5)* (x-23.50)=13.80\\\\x-23.5=(5)/(2)*13.80\\\\x-23.5=34.5\\\\x=34.5+23.5\\\\x=58`