SOLUTION: I have this word problem and I am struggling with how to set it up. The problem is Mary took her children and some of their friends to Sneaky Pete's indoor amusement park. She boug

Question 721662: I have this word problem and I am struggling with how to set it up. The problem is Mary took her children and some of their friends to Sneaky Pete's indoor amusement park. She bought 3 tickets to ride the go-carts and 4 tickets to play a game of bumper bowling. The total for all of those tickets was $39.75. If a ticket to play a game of bumper bowling was $1.75 less than twice the price of ticket to ride the go-carts, figure out the cost of a ticket to ride the go-carts and the cost of a ticket to play a game of bumper bowling. my first equation is 3g + 4b= 39.75, but I am struggling with the second one.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the cost of a go-cart ticket
Let = the cost of a bumper-car ticket
(1)
(2)
-------------------
(1)
Divide both sides by
(1)
and
(2)
(2)
(2)
------------------
Muyltiply both sides of (2) by
and add (2) and (1)
(1)
(2)

and, since
(2)
(2)
(2)
(2)
The cost of a go-cart ticket is $4.25
The cost of a bumper-car ticket is $6.75
check:
(1)
(1)
(1)
(1)
OK
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