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Anna007 [38]
3 years ago
13

A rock group plans three concert tours over a period of 30 weeks. The tour in Britain will be twice as long as the tour in Franc

e and the tour in Germany will be 2 weeks shorter than the tour in France. How many weeks will they be in France?
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

8 weeks

Step-by-step explanation:

Let x represent how many weeks they will be in France.

The tour in Britain can be represented by 2x, since it is twice as long as the one in France.

The tour in Germany can be represented by x - 2, since it is 2 weeks shorter.

Create an equation and solve for x:

(x) + (2x) + (x - 2) = 30

4x - 2 = 30

4x = 32

x = 8

So, they will be in France for 8 weeks

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3 years ago
With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s
Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

  • when all three boys are standing on the scale, it reads 170 pounds.

A + B + C = 170 - Eq(1)

  • when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

B + C = 100 - Eq(2)

  • when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

C = 60

So we already knew the weight of boy C. (it was in the question all along)

C = 60 pounds

<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>

we can put this value back in Eq(2), to find the weight of boy B.

B + C = 100

B + 60 = 100

B = 100 - 60

B = 40

the

the weight of boy B (Ben) is B = 40 pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

A + B + C = 170

A + 40 + 60 = 170

A + 100 = 170

A = 170 - 100

A = 70

the weight of boy A (Adam) is A = 70 pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

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B x h=v
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Hope this helps :)
4 0
3 years ago
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