A punch recipe requires 2/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch?

Answer:The unit rate is 6 1/4 cups of soda per cup of pineapple juiceStep-by-step explanation:we know thatTo find out the unit rate of soda to pineapple juice in the punch, divide the cups of soda by the cups of pineapple juiceso[tex]2\frac{1}{2} :\frac{2}{5}[/tex]Convert mixed number to an improper fraction [tex]2\frac{1}{2}=2+\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]substitute[tex]\frac{5}{2} :\frac{2}{5}[/tex]Multiply in cross[tex]\frac{25}{4}= 6.25[/tex]Convert to mixed number[tex]6.25=6+0.25=6+\frac{1}{4}= 6\frac{1}{4}[/tex]That means The unit rate is 6 1/4 cups of soda per cup of pineapple juice