In a parade, each tricycle and bicycle have one rider. There are 64 wheels and 28 riders. How many tricycles are there? can you show work, please

8 tricycles

Step-by-step explanation:

Make a system of equations

Let t represent tricycles, and b represent bicycles

We know that tricycles have 3 wheels, bicycles have 2, and there are a total of 64 wheels

We also know each has one rider, and there are a total of 28 riders

3t+2b=64

t+b=28

Subtract t from both sides in the second equation. This will allow us to use substitution

b= -t+28

Substitute -t+28 in for b in the first equation

3t+2b=64

3t+2(-t+28)=64

Distribute the 2

3t + 2*-t+ 2* 28 =64

3t-2t+56=64

Combine like terms

t+56=64

Subtract 56 from both sides

t=8

There were 8 tricycles

We can create a system of equations to represent the problem.

Let x equal the amount of bicycles there are. Let y equal the amount of tricycles there are.

x + y = 28

2x + 3y = 64

Solve x + y = 28 for "x".

x + y = 28

~Subtract y to both sides

x + y - y = 28 - y

~Simplify

x = 28 - y

Substitute (28 - y) for "x" in 2x + 3y = 64

2(28 - y) + 3y = 64

~Simplify

y + 56 = 64

~Subtract 56 to both sides

y + 56 - 56 = 64 - 56

~Simplify

y = 8

Substitute (8) for "y" in x = -y + 28

x = -8 + 28

~Simplify

x = 20

So, there were 8 tricycles and 20 bicycles.

Best of Luck!

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

here is a big fat