Answer:
[tex]\frac{5}{3}[/tex] cups
Step-by-step explanation:
Jacob mixes [tex]\frac{1}{3}[/tex] cup of yellow paint for every [tex]\frac{1}{5}[/tex] cup of blue paint to make green paint.
The ratio of yellow paint to blue paint = [tex]\frac{1}{3} : \frac{1}{5}[/tex]
= 5:3
[tex]\frac{1}{5}[/tex] cup of blue paint = [tex]\frac{1}{3}[/tex] cup of yellow paint
1 cup of blue paint = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex] cup of yellow paint
⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex]
⇒ [tex]\frac{5}{3}[/tex]
Hence, For 1 cup of blue paint needed [tex]\frac{5}{3}[/tex] cups of yellow paint.