Question

Jane,andre,and Maria pick apples.Andre picks 3 times as many pounds as maria.Jane picks 2 times as many pounds as andre.The total weight of the apples 840 ibs.How many lbs of apples does Andre pick?

Answer 1

Answer: Andre picked 252 lbs of apple

Step-by-step explanation:

Let x represent the number of pounds of apple that Jane picked.

Let y represent the number of pounds of apple that Andre picked.

Let z represent the number of pounds of apple that Maria picked.

Andre picks 3 times as many pounds as maria. This means that

y = 3z

z = y/3

Jane picks 2 times as many pounds as Andre. This means that

x = 2y

The total weight of the apples 840 ibs. This means that

x + y + z = 840 - - - - - - - - - -1

Substituting z = y/3 and x = 2y into equation 1, it becomes

2y + y + y/3 = 840

Cross multiplying by 3, it becomes

6y + 3y + y = 2520

10y = 2520

y = 2520/10 = 252

x = 2y = 2×252 = 504

z = y/3 = 252/3 = 84