Question

joe makes fruit punch by mixing fruit juice and lemonade in the ratio of 2: 7 she needs to make 72 liters of punch for a party how much of each ingredient does she need

Answer 1

"in the ratio of 2:7" implies "two parts fruit juice to seven parts lemonade." This translates into the following: 2x liters of fruit juice plus 7x liters of lemonade, combined, make up 72 liters of punch.

Write this as an algebraic equation and solve this equation for x.

Lastly, multiply x by 2 to determine the number of liters of fruit juice needed, and multiply x by 7 to det. the numb. of liters of lemonade needed.

Note that these two quantities have the ratio 2:7 and add up to 72 liters.