Question

Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on frozen foods. if she spent 22$ on frozen foods. how much money did she spend on fresh foods?

Answer 1

$44 because if $22 is 2/3 than 1/3 is $11 this means that 7/7 is $77 so this means that 4/7 is $44

Answer 2

$44

Explanation:

Let the total amount of money be represented by Y

Amount spent on fresh food =

`(4)/(7) * y`

Remainder =

`y - (4)/(7)y = (3)/(7) y`

Amount spent on frozen foods = two-thirds of remainder = $22

`= (2)/(3) * (3)/(7) y = (2)/(7) y`

`(2)/(7) y = 22 \\ y = 22 * (7)/(2) \\ y = 77`

The total amount for grocery shopping is $77

Therefore, Brittany spent $44 on fresh foods

`= (4)/(7) * 77 \\ = 4 * 11 \\ = 44`