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 $=\ 5.9$

Step-by-step 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 $3$

$x=\frac{\ 17.70}{3} =\ 5.9$

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

$3(y)=3.75$

$y=\frac{3.75}{3} = 1.25$

So the cost of Ferris wheel $=\ 1.25$

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