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Alex and his father took a taxi cab that charges $2.60 per mile plus $ plus $3.00 for the two passengers, and they paid a total of $18.60.

Alex wrote the equation 18.60=2.60b+3.00 for this situation and found b=6, where b represents the number of miles the taxi traveled.
How could Alex correctly solve this problem without using the equation?
Responses
He can find the total number of miles by subtracting $3.00 from the total cost, $18.60. Then, he could divide the difference by $2.60.

He can find the total number of miles by dividing the total cost, $18.60, by $2.60. Then, he could add $3.00 to the quotient.

He can find the total number of miles by dividing the total cost, $18.60, by $2.60. Then, he could subtract $3.00 from the quotient.

He can find the total number of miles by adding $3.00 from the total cost, $18.60. Then, he could divide the sum by

1 answer

The correct way for Alex to solve the problem without using the equation would be:

He can find the total number of miles by subtracting $3.00 from the total cost, $18.60. Then, he could divide the difference by $2.60.

Here's the reasoning:

  1. First, subtract the fixed cost for the two passengers from the total cost: \( 18.60 - 3.00 = 15.60 \)

  2. Then, divide that remainder by the cost per mile: \( \frac{15.60}{2.60} = 6 \)

This will give him the number of miles traveled by the taxi, which is \( b = 6 \).