Answer:
$44
Step-by-step explanation:
Let the total amount of money be represented by Y
Amount spent on fresh food =
[tex] \frac{4}{7} \times y[/tex]
Remainder =
[tex]y - \frac{4}{7}y = \frac{3}{7} y[/tex]
Amount spent on frozen foods = two-thirds of remainder = $22
[tex] = \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y[/tex]
[tex]\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77[/tex]
The total amount for grocery shopping is $77
Therefore, Brittany spent $44 on fresh foods
[tex] = \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44[/tex]
