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Question

The toll rates for crossing Bandra sea link are $6.50 for a two wheeler and $10 for a four wheeler. A total of 187 vehicle crossed the bridge on a day and the total collected in tolls was $1,338. Which of the following system of equations will give x the number of two wheelers and y, the number of four wheeler on that particular day?

A
x+y=1,3386.5x+10y=187
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B
x+y=1876.5x+10y=1,3382
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C
x+y=1876.5x+10y=1,338
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D
x+y=1876.5x+10y==1,338×2
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Solution

The correct option is C x+y=1876.5x+10y=1,338
Given,
Toll rate for crossing Bandra sea link are 6.50fortwowheelerand 10 for four wheeler.
Total vehicles that crossed bridge on a day =187
Total cost collected in tolls =1338.Whenweassumexbethenumberoftwowheelersandybethenumberoffourwheelers,thentotalnumberofvehiclesthatcrossedthebridgewillbe,x+y=187Totalmoneycollectedbytwowheelerswillbe6.50\times x=6.50xTotalmoneycollectedbyfourwheelerswillbe10\times y=10ySoequationfortotalmoneycollected=6.50x+10y=1338Hence,thecorrectsetofequationsarex+y=1876.50x+10y=1338$

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