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Answer: Jack can make 6 smoothies with the yogurt.
Explanation:
Cups of Yogurt available with Jack =[tex]1\frac{5}{3}=\frac{8}{3}[/tex]
Cups used for 1 smoothie = [tex]\frac{2}{5}[/tex]
Thus if [tex]\frac{2}{5}[/tex] cups of yogurt can make = 1 smoothie
[tex]\frac{8}{3}[/tex] cups of yogurt can make = [tex]\frac{1}{\frac{2}{5}}\times \frac{8}{3}=\frac{20}{3}=6smoothies[/tex]
Thus Jack can make 6 smoothies with the yogurt.