Problem

9. 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?

Answer

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Answer

There are 20 bicycles and 10 tricycles in the preschool playground.

Steps

Step 1 :Let the number of bicycles be x and the number of tricycles be y. We have two equations:

Step 2 :x+y=30

Step 3 :2x+3y=70

Step 4 :Solve the system of linear equations to find the values of x and y.

Step 5 :From the first equation, we get y=30x

Step 6 :Substitute this into the second equation: 2x+3(30x)=70

Step 7 :Simplify the equation: 2x+903x=70

Step 8 :Combine like terms: x=20

Step 9 :Solve for x: x=20

Step 10 :Substitute the value of x back into the equation for y: y=3020

Step 11 :Solve for y: y=10

Step 12 :There are 20 bicycles and 10 tricycles in the preschool playground.

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