Ashuttle company charges $3.25 plus $0.55 per mile. a taxi company charges $2.50 plus $0.60 per mile. after how many miles will both companies charge the same amount?

We can solve these questions using algebraic expressions.

Both companies will charge the same amount after 15 miles.

Let's represent

The number of miles = x

Our system of equations is given as:

Hence: $3.25 + $0.55 × x

= 3.25 + 0.55x

Hence: $2.50 + $0.60 × x

= 2.50 + 0.60x

To solve for how many miles both companies will charge the same amount, we equate both equations to each other.

3.25 + 0.55x = 2.50 + 0.60x

Collect like terms

0.60x - 0.55x = 3.25 - 2.50

0.05x = 0.75

Divide both sides by 0.05

0.05x/0.05 = 0.75/0.05

x = 15 miles

Therefore, both companies will charge the same amount after 15 miles.

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