SOLUTION: The usual toll charge to use the Bingham tunnel is 50 cents. If you purchase a special sticker for $5.50, the toll is only 35 cents. At least how many trips through the tunnel are

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Question 273625: The usual toll charge to use the Bingham tunnel is 50 cents. If you purchase a special sticker for $5.50, the toll is only 35 cents. At least how many trips through the tunnel are needed before the sticker costs less than paying for each trip separately?
Answer by CharlesG2(834) (Show Source):
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The usual toll charge to use the Bingham tunnel is 50 cents. If you purchase a special sticker for $5.50, the toll is only 35 cents. At least how many trips through the tunnel are needed before the sticker costs less than paying for each trip separately?
0.50x = 5.50 + 0.35x
0.15x = 5.50
x = 36 2/3
about 37 trips
x 0.50x 5.50+0.35x
1 0.5 5.85
2 1 6.2
...
32 16 16.7
33 16.5 17.05
34 17 17.4
35 17.5 17.75
36 18 18.1
37 18.5 18.45
38 19 18.8
39 19.5 19.15
40 20 19.5