Question

The toll rates for crossing a bridge are $6.50 for a car and $10.00 for a truck. During a two-hour period, a total of 187 cars and trucks crossed the bridge, and the total collected in tolls was $1,338. How many cars crossed the bridge in the two-hour period?

Answer 1

152 cars crossed the bridge in the two-hour period.

Explanation:

Suppose, the number of cars crossed the bridge was
`x`

As a total of 187 cars and trucks crossed the bridge, so the number of trucks crossed the bridge
`=187-x`

The toll rates are $6.50 for a car and $10.00 for a truck and the total collected in tolls was $1,338.

So, the equation will be.......

`6.50x+10.00(187-x)=1338\\ \\ 6.50x+1870-10x=1338\\ \\ -3.50x=1338-1870\\ \\ -3.50x=-532\\ \\ x=(-532)/(-3.50)=152`

Thus, the number of cars crossed the bridge in the two-hour period was 152.