Question

Daniel Capo

Answer 1

Answer:

The number of games Sydney played is 5 and the number of rides she went on is 8.

Step-by-step explanation:

Given:

Sydney is going to a carnival that has games and rides. Each game costs $1.25 and  each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number  of rides she went on is 3 more than the number of games she played.

Now, to find the number of games Sydney played and the number of rides she went on.

Let the number of games she played be $x.$

As given, the number  of rides she went on is 3 more than the number of games she played.

So, the number of rides be $x+3.$

Each game costs $1.25 and  each ride costs $2.25. Sydney spent $24.25 altogether at the carnival.

According to question:

$1.25x+2.25(x+3)=24.25$

$1.25x+2.25x+6.75=24.25$

$3.50x+6.75=24.25$

Subtracting both sides by 6.75 we get:

$3.50x=17.50$

Dividing both sides by 3.50 we get:

$x=5.$

Number of games = 5.

So, number of rides:

$x+3\\=5+3\\=8.$

Therefore, the number of games Sydney played is 5 and the number of rides she went on is 8.