Question

Abby loves riding Ferris wheels and

roller coasters. While visiting the Polk
County Fair, she first went on the
Ferris wheel 5 times and the roller
coaster 4 times, using a total of 26
tickets. Then, after taking a break and
having a snack, Abby went on the
Ferris wheel 5 times and the roller
coaster 3 times, using a total of 22
tickets. How many tickets does it take
to ride each attraction?

Answer 1

Explanation:

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Vince works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 16 strands of lights to decorate 2 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 4 trees, using a total of 44 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Vince use on each?

Vince decorated every bush with

strands of lights and every tree with

strands.

Answer 2

ferris wheel: 2

roller coaster: 4

Explanation:

Variables

y = ferris wheel tickets

x = roller coaster tickets

Two equations

5y + 4x = 26

5y + 3x = 22

Using Elimination (minus the top and bottom)

We get:

x = 4 (because 5y - 5y is zero, 4x - 3x is x, and 26 - 22 is 4)

Since the roller coaster price is know, you can sub it into any of the two equations and fine ferris wheel price.

5y + 3(4) = 22

5y + 12 = 22

5y = 10

y = 2

Therefore:

ferris wheel charges 2 tickets

roller coaster charges 4 tickets