SOLUTION: Tyson drove 65 miles more than 1/2 the miles Pete drove. Together they drove 500 miles. How many miles did Tyson drive?

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Question 172890: Tyson drove 65 miles more than 1/2 the miles Pete drove. Together they drove 500 miles. How many miles did Tyson drive?
Found 2 solutions by monika_p, solver91311:
Answer by monika_p(71) About Me  (Show Source):
You can put this solution on YOUR website!
x-miles drove by Pete
y=1/2x+65 -miles drove by Tyson
then the sum of the miles they drove together write as :
x+1/2x+65=500 solve for x
3/2x=435
x=290 and y=210

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Tyson drove m miles. So Pete must have driven 2%28m-65%29=2m-130 miles.

And we know that m+%2B+2m+-+130=500

Solving:

3m-130=500
3m=630
m=210
So Tyson drove 210 miles
And 2%28210%29-130=290 miles which is the distance Pete drove. 210 + 290 = 500 so the answer checks.