SOLUTION: Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on

Algebra ->  Inequalities -> SOLUTION: Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on      Log On


   

Question 1197703: Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Nathan played and the number of rides Nathan went on.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
g, how many games
r, how many rides
r%2Fg=2

r=2g

g%2B3.75%2A2g=34
.
.
.
highlight%28g=4%29

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Nathan is going to a carnival that has games and rides.
Each game costs $1 and each ride costs $3.75.
Nathan spent $34 altogether at the carnival and the number of rides he went on
is twice the number of games he played.
Determine the number of games Nathan played and the number of rides Nathan went on.
~~~~~~~~~~~~~ 

Let x be the number of games; then the number of rides is 2x.

Write the total money equation

    1x + 3.75*(2x) = 34   total dollars.


Simplify and find x

    x + 7.50x = 34

      8.5x    = 34

         x    = 34/8.5 = 4.


ANSWER.  4 games and 2*4 = 8 rides.


CHECK.   4*1 + 8*3.75 = 34 total dollars.   ! correct !

Solved.