International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50% of buyers will buy cherry, 20% will buy grape, and 30% will buy apple. Cherry buyers will buy an average of 1.2 cans at a time, grape purchasers 1.4, and apple purchasers 1.6. Given this information, what percent of the total sales of the new line will cherry be?

Question

Mathematics

Yareli Park

27 February, 21:18

International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50% of buyers will buy cherry, 20% will buy grape, and 30% will buy apple. Cherry buyers will buy an average of 1.2 cans at a time, grape purchasers 1.4, and apple purchasers 1.6. Given this information, what percent of the total sales of the new line will cherry be?

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Issac Nelson · Answer 1

Cherry sales as a % of total sales = (0.5 x 1.2) / (0.5 x 1.2 + 0.2 x 1.4 + 0.3 x 1.6) = 0.6 / (0.6 + 0.28 + 0.48) = 0.6 / 1.36 = 0.4412 = 44.12%

Therefore, 44.12% of the total sales will be cherry.