Answer:
13 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Firstly, we need to calculate the ratio of cup a to cup b:
[tex]\frac{1}{2} : 1 \frac{2}{3}[/tex]
To find out how much of cup b we need after using 4 cups of cup a, we can divide 4 by the ratio of cup a:
4 ÷ [tex]\frac{1}{2}[/tex] = 8
So we need to multiply the ratio of cup b by 8:
8 * [tex]1 \frac{2}{3}[/tex] = 13 [tex]\frac{1}{3}[/tex]
Meaning that
13 [tex]\frac{1}{3}[/tex] cups of cup b is needed.
Hope this helps!