16Hit 1600
AlgebraVery hardWhere two pricing plans cost the same

Algebra practice question

A ride with Carrier A costs $3.50 plus $2.25 per mile. The same ride with Carrier B costs $6.00 plus $1.75 per mile. For how many miles does a ride cost the same with both carriers?

Answer: 5

Set 3.50 + 2.25m = 6.00 + 1.75m. Then 0.50m = 2.50, so m = 5 miles.

Common wrong answers

If you answered 19
Check the setup: the equation is 3.50 + 2.25m = 6.00 + 1.75m, giving m = 5.
If you answered 2.5
2.50 is the fare-difference in dollars; divide it by the $0.50 per-mile difference to get 5 miles.
If you answered 0.5
0.50 is the per-mile difference in rates, not the answer; the base-fare gap of 2.50 must be divided by it.

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