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Fiesta28 [93]
3 years ago
12

At Billy's school, 80 students bone to school by bike or car. Together the vehicles arrive to school in have 270 wheels. How man

y of each are used? Use "b" to represent the number of bicycles and "c" to represent the number of cars
Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer: 25 bikes and 55 cars were used.

Step-by-step explanation:

Let b represent number of bicycles that the students ride to school.

Let c represent number of cars that the students drive to school.

At Billy's school, 80 students come to school by bike or car. It means that

b + c = 80

A bike has 2 wheels. A car has 4 wheels. Together the vehicles that arrive at the school have 270 wheels. It means that

2b + 4c = 270- - - - - - - - - - 1

Substituting b = 80 - c into equation 1, it becomes

2(80 - c) + 4c = 270

160 - 2c + 4c = 270

- 2c + 4c = 270 - 160

2c = 110

c = 110/2

c = 55

b = 80 - c = 80 - 55

b = 25

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