Need formula for word problem (people in van)

mutlyp

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Jan 19, 2008
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There are 10 people on a 10 passenger van. The weekly cost of the van is $200. 6 people on the van do the driving and feel they should get a break in how much they pay each week. All 10 agree and want to give the 6 people that drive a $10 break. So the 6 people will pay $10 less than the other 4 people. How much should each person pay for one week?

Need to come up with a formula for this problem so I can plug in different number like 7 people on the van want to pay $5 less than the other 3 and this van cost $350 a week.

Tried using:
5(20-x) + 5(20+y)=200
but could not get it to work.
Please help this is driving me crazy.
Thanks
 
mutlyp said:
There are 10 people on a 10 passenger van. The weekly cost of the van is $200. 6 people on the van do the driving and feel they should get a break in how much they pay each week. All 10 agree and want to give the 6 people that drive a $10 break. So the 6 people will pay $10 less than the other 4 people. How much should each person pay for one week?
The two-hundred-dollar cost is to be split between six people each paying one amount "x", and the other four paying the larger amount "x + 10". So translate the following into an equation:

. . . . .(number of drivers)(x dollars / driver) + (number of riders)(x + 10 dollars / rider) = (total cost)

Then solve your equation for "x". :D

Eliz.
 
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