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?

Respuesta :

Answer:

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

Step-by-step explanation:

Suppose, the number of cars crossed the bridge was  [tex]x[/tex]

As a total of 187 cars and trucks crossed the bridge, so the number of trucks crossed the bridge [tex]=187-x[/tex]

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.......

[tex]6.50x+10.00(187-x)=1338\\ \\ 6.50x+1870-10x=1338\\ \\ -3.50x=1338-1870\\ \\ -3.50x=-532\\ \\ x=\frac{-532}{-3.50}=152[/tex]

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

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