SOLUTION: yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs and costs and additional $0.30 per mile driven. The sec

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs and costs and additional $0.30 per mile driven. The sec      Log On

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Question 1047182: yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $70 and costs and costs and additional $0.30 per mile driven. The second plane has no initial fee but costs $0.80 per mile driven. How many miles would Yolanda need to drive for the two plans to cost the same?
Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of miles driven.
70+0.30x = 0.80x
70 = 0.50x flip the equation to keep the x on the left
0.50x = 70 divide both sides by 0.50
x = 140 miles
At 140 miles they both cost the same.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance in miles Yolando drives
Let +C+ = the cost of either plan in dollars
Cost of the 1st plan:
(1) +C+=+70+%2B+.3d+
Cost of the 2nd plan:
(2) +C+=+.8d+
---------------------
Set the costs of the 2 plans equal to eachother
+.8d+=+70+%2B+.3d+
+.5d+=+70+
+d+=+140+ mi
She has to drive 140 mi for the 2 plans to be the same
----------------------------
check answer:
(1) +C+=+70+%2B+.3d+
(1) +C+=+70+%2B+.3%2A140+
(1) +C+=+70+%2B+42+
(1) +C+=+112+
and
(2) +C+=+.8d+
(2) +C+=+.8%2A140+
(2) +C+=+112+
OK