cost of bike?

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fecoupefe

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Oct 10, 2009
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Peter agreed to work after school for 8 weeks at a fixed weekly rate. But instead of only being given money, he was to be given $85 and a bicyle. However, the kid worked only 5 weeks at the fixed weekly rate and was given $25 and a bicycle. How much was the bicycle worth?

Please explain in detail the answer
 
fecoupefe said:
Peter agreed to work after school for 8 weeks at a fixed weekly rate. But instead of only being given money, he was to be given $85 and a bicyle. However, the kid worked only 5 weeks at the fixed weekly rate and was given $25 and a bicycle. How much was the bicycle worth?

Please explain in detail the answer
Click to expand...

Define a variable for the answer to the problem.

Let the cost of the bike = B (dollars)

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.
 
I understand the answer is $75. But what equals $75?..is it adding, substracting, dividing, multiplying certain numbers to get 75. is it 100-25..what is it please?
 
fecoupefe said:
Peter agreed to work after school for 8 weeks at a fixed weekly rate. But instead of only being given money, he was to be given $85 and a bicyle. However, the kid worked only 5 weeks at the fixed weekly rate and was given $25 and a bicycle. How much was the bicycle worth?

Please explain in detail the answer
Click to expand...

I'm not going to give you the answer.....

But, I'll get you started and hopefully you can find it yourself.

Let b = cost of bicycle
Let x = amount Peter is paid for 1 week's work.

If Peter works for 8 weeks, he gets 8x dollars, in the form of $85 cash and a bicycle:
8x = 85 + b

If Peter works for 5 weeks, he gets 5x dollars, in the form of $25 cash and a bicycle
5x = 25 + b

See what you can do with those equations.....
 
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