Question

Booster Juice needs to combine three different juices to make a smoothie, and one cup of smoothie needs one pound of three different juices combined. Assume one pound of apple juice costs $1, one pound of orange juice costs $2, and one pound of peach juice costs $4.

a. What would be the price of the smoothie if Booster Juice makes the smoothie by combining 30% of apple juice, 20% orange juice and 50% of the peach juice.

b. What would be the price of the smoothie if the Booster Juice makes the smoothie by using all three equally.​

Answer 1

A.) $2.70

B.) $2.33

Explanation:

Given that:

Smoothie is made from 3 different juice ;

1 cup of smoothie requires 1 pound combination of 3 different juices.

Cost of 1 pound of apple juice = $1

Cost of 1 pound of orange juice = $2

Cost of 1 pound of peach juice = $4

A.) What would be the price of the smoothie if Booster Juice makes the smoothie by combining 30% of apple juice, 20% orange juice and 50% of the peach juice.

30% of 1 pound apple juice :

(30/100) * $1 = $0.3

20% of 1 pound orange :

(20/100) * $2 = $0.4

50% of 1 pound peach :

(50/100) * $4 = $2

Hence, price of smoothie = $(0.3 + 0.4 + 2) = $2.70

b. What would be the price of the smoothie if the Booster Juice makes the smoothie by using all three equally.

If all three juice are used equally:

100% / 3 = 33.333% = 0.3333

0.3333 * $1 = $0.333

0.333 * $2 = $0.667

0.333 * $4 = $1.332

Hence, price of smoothie :

$(0.333 + 0.667 + 1.332) = $2.332