Question

Mallory and Kyra spent the afternoon at an amusement park. Kyra pays $15.55 for 2 trips on the water slide and 3 rides on the ferris wheel. Mallory pays $17.70 for 3 rides. How much does each ride cost?​

Answer 1

Lets say that Mallory pays
`\$17.70` for
`3` rides on the Water slides.

There in the question Mallory's ride is undefined,so we take it as Water slide ride.

Ferris wheel ride cost
`=\$1.25`

And Water slides cost
`=\$5.9`

Explanation:

Now lets assign
`y` for Ferris wheel ride and
`x` for water slide.

According to the question.

Kyra spent
`\$15.55` for
`3` rides on Ferris wheel and
`2` on Water slide, so
`3(y)+2(x) =\$ 15.55`

Similarly for Mallory we have
`3(x)=\$17.70`

We have two equations and two unknowns.

Firstly we will find the value of Water slide cost that is
`x` then,

`3(x)=\$17.70`

Dividing both sides with
`3`

`x=(\$17.70)/(3) =\$5.9`

The cost of each Water slide ride
`=x=\$5.9`

Now

Plugging the value of
`=(x)=\$5.9` in
`3(y)+2(x) =\$ 15.55`.

`3(y)+2(x) =\$ 15.55`

`3(y)+2(5.9) =\$ 15.55`

`3(y)+11.8=\$ 15.55`

Subtracting
`(11.8)` both sides

`3(y)=3.75`

`y=(3.75)/(3) = 1.25`

So the cost of Ferris wheel
`=\$1.25`

The cost of Ferris wheel ride
`=\$1.25` and the cost of Water slides
`=\$5.9`