Cant answer, brain block. Math question!?

Question

bike company makes unicycles, bicycles, and tricycles. last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. if they made 40 more bicycles than tricycles, how many unicycles did they have.

pleez help!

Answer 1

12;

x; unicycles

y; bicycles

x; tricycles

y = x + 88
y = z + 40
z = 5x

Substitute in 5x for z

y = x + 88
y = 5x + 40

-5(y = x + 88)

-5y = -5x -440
y = 5x + 40

Add the system of equations together

-4y = -400

Divide by -4

y = 100

Substitute back into original equations;

y = x + 88;
100 = x + 88

Subtract 88

x = 12

y = z + 40;
100 = z + 40

Subtract 40

z = 60

z = 5x;

60 = 5x

Divide by 5

x = 12

This matches with the value of x we got previously, therefore, the company had 12 unicycles.

Hope this helps!

: )

Answer 2

Let the number of unicycles, bicycles and tricycles be called u, b and t respectively.

b = u + 88
t = 5u
b = t + 40

Substituting the third equation into the first, we have:

t + 40 = u + 88 ==> t = u+48

The second tells us, then, that:

u + 48 = 5u ==> 4u = 48 ==> u = 12

Putting this into the first equation gives b = 88 + 12 = 100

and from the third:

100 = t + 40 ==> t = 60

so u = 12, b = 100, t = 60

Answer 3

Step 1 - Assign some variables:
# unicycles = x
# bicycles = y
# tricycles = z

Step 2 - Establish relationships:
y = x + 88
z = 5x
y = z + 40

Step 3 - Substitutions:
Substitute x = z/5 into y = x + 88 to get:
y = (z/5) + 88
Substitute z = y - 40 into the above eqn. to get:
y=[(y - 40)/5] + 88

Only one value of y satisfies this eqn: 100

Final Step:
Plug this value of y into y = x + 88 to get an answer of 12.

Answer 4

Let, Unicycles = x
Then, Bicycles = x + 88
And, Tricycles = 5x

Bicycles - Tricycles = 40

Therefore, x + 88 - 5x = 40
-4x = -48
x = 12

So, the company made 12 Unicycles last week.

Answer 5

To answer, break down the words into math equations.
88 more bicycles than unicyles = B(bicycles) = U(unicyles) +88
5 times more tricycyles than unicyles=
T(tricycles) = 5U
40 more bicycles than tricycles= B= T+40
therefore
B= T+40=U +88
therefore
T+40=U+88
therefore
T=U +88 - 40= U +48
remember that T also equals 5U, therefore
T=5U=U +48
therefore
5U - U =48
therefore
4U=48
therefore
U=48/4=12
there are twelve unicycles

Answer 6

Let U be number of unicycles
Then 88+U= number of bicycles
5U= number of tricycles.
We also know that 88+U= 40+5U (40+tricycles= bicycles), then U=12. The rest works out.

Answer 7

Let u = no. of unicycles, t = no. of tricycles, b = no. of bicycles.

t = 5u
b = u + 88
b = 5u + 40

u + 88 = 5u + 40
48 = 4u
u = 12

Answer: 12 unicycles

t = 5 * 12 OR 60
b = 60 + 40 OR 100

Proof:
60 + 40 = 12 + 88
100 = 100

Answer 8

b=88+u
t=5u
b=t+40

B=5u+40
88+u= 5u+40
-u -40
48= 4u
/4 /4
12=u

12 unicycles

Answer 9

x, y and z be uni, bi and tri,

y = x + 88
z = 5x
y = z + 40

x + 88 = z + 40
x - z = -48
substitute, z = 5x
x - 5x = -48
x = 12

they have 12 unicycles.