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Jane, Andre, and Maria pick apples. Andre picks three times as many pounds as Maria. Jane picks two times as many pounds as Andre. The total weight of the apples is 840 pounds. How many pounds of apples does Andre pick?

Jane, Andre, and Maria pick apples. Andre picks three times as many pounds as Maria-example-1
User Djoby
by
5.2k points

2 Answers

2 votes

Answer:

Andre picks 252 lbs of apples

Explanation:

Maria picks 84

84 x 3 is 252

252 + 252(2) + 84 = 840

User Shariful Hasnine
by
4.9k points
2 votes

Andre picks 252 pounds of apples.

Let's solve the problem step-by-step:

Define variables:

Let M be the number of pounds Maria picks.

Andre picks 3 times M, so Andre picks 3M pounds.

Jane picks 2 times Andre's amount, so Jane picks 2 * 3M = 6M pounds.

Set up the equation:

The total weight of apples is 840 pounds, which is the sum of what each person picks:

M + 3M + 6M = 840

10M = 840

Solve for M: Divide both sides by 10:

M = 84

Find Andre's amount: Andre picks 3M, so:

Andre = 3 * M = 3 * 84 = 252 pounds

Therefore, Andre picks 252 pounds of apples.

User Deepthought
by
6.2k points
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