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A preschool playground has both bicycles and tricycles. There is a total of 30 seats and 70 wheels. how many bicycles are there? how many tricycles are there? ​

Respuesta :

Answer:

20 bicycles and 10 tricycles.

Step-by-step explanation:

Let the number of bicycles and tricycles be x and y respectively.

Each vehicle has 1 seat.  Each bicycle 2 wheels and each tricycle 3 wheels.

Then we have the system of equations:

x + y = 30 ............ (1)

2x + 3y = 70.........(2)

Multiply the first equation by -2:

-2x - 2y = -60......(3)

Adding (2) + (3):

y = 10

Substituting for y in equation (1):

x + 10 = 30

x = 20.    

By simultaneous equation, there are a total of 20 bicycles and 10 tricycles.

What is the number of given quantity from simultaneous equation ?

Let the number of bicycles and tricycles be x and y respectively.

It is given that there is a total of 30 seats and 70 wheels.

Each vehicle has 1 seat.  Each bicycle 2 wheels and each tricycle 3 wheels.

Then we have the system of simultaneous equations:-

x + y = 30 ............ (1)

2x + 3y = 70.........(2)

Multiply the first equation by -2:

-2x - 2y = -60......(3)

Adding (2) + (3):

y = 10

Substituting for y in equation (1):

x + 10 = 30

x = 20.    

Therefore, by simultaneous equation, there are a total of 20 bicycles and 10 tricycles.

To learn more about simultaneous equation, refer -

https://brainly.com/question/15165519

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