Daniel capo
solve system of equations from context
jan 21,7: 26: 04 pm
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. determine the
number of games sydney played and the number of rides sydney went on.
sydney played
games and went on
rides rides.
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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

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

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

According to question:

Subtracting both sides by 6.75 we get:

Dividing both sides by 3.50 we get:

Number of games = 5.

So, number of rides:

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

41*67/2=1373.5

step-by-step explanation:

i just used a calculator

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .