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Sergeeva-Olga [200]
3 years ago
13

Please help me solve this problem?

Mathematics
1 answer:
Luden [163]3 years ago
4 0

The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.

Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:

... (100 -x) = 3(100 -2x)

... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side

... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms

... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5

... x = 40 . . . . . . . . . . . . . . . . . . . add 40

  • 40 kg is left in the first bag
  • 80 kg is left in the second bag

_____

<u>Check</u>

The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.


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This week, Mister Campanello got an increase in his salary of 3%. He worked 3 days at his previous salary of $16/hour. Then, he
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6 0
4 years ago
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A rectangular playground has an area of 768 square meters. If the width of the rectangle is 32 meters, find the length.
Lapatulllka [165]
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4 years ago
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Answer:

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Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

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8 0
3 years ago
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