Question

Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 left. How much was Mrs. Wright's paycheck ?

Answer 1

Answer:

Mrs. Wright's paycheck is $630

Step-by-step explanation:

Let x = Mrs. Wright's paycheck.

Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9

She spent 1/3 on rent. This means that the amount spent on rent is

1/3 ×x x = x/3

Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9

= 5x/9

The remainder is her pay check - the amount that she spent on food and rent. It becomes

x - 5x/9 = (9x- 5x)/9 = 4x/9

She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.

Amount left = 4x /9 - x/9= 3x/9

She had $210 left. Therefore,

210 = 3x/9

3x = 9×210 = 1890

x = 1890/3

x = $630