SOLUTION: During a 4th of July weekend, 32 vehicles became trapped on the Sunshine Skyway Bridge while it was being repaved. A recent city ordinance decreed that only cars with 4 wheels and

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Question 394960: During a 4th of July weekend, 32 vehicles became trapped on the Sunshine Skyway Bridge while it was being repaved. A recent city ordinance decreed that only cars with 4 wheels and trucks with six wheels could be on the bridge at any given time. If there were 148 tires that needed to be replaced to due to damage, how many cars and trucks were involved in the incident?
can you show your work? thanks for your time.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let x+=+cars and y+=+trucks

since there were 32_+vehicles, we have +x+%2B+y+=+32

cars have 4+_wheels so 4x, trucks have 6_+wheels so 6x

the total+number of wheels is 148, so

4x+%2B+6y+=+148

set up an equation system and solve it:

x+%2B+y+=+32

4x+%2B+6y+=+148

multiply the top equation by -4 to get rid of x and solve for y:
-4x+-+4y+=+-+128

4x+%2B+6y+=+148
---------------------------

2y+=+20

y+=+10

so 10 trucks and 22 cars were involved

check: 4%2822%29+%2B+10%286%29+=+88+%2B+60+=+148