Question

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DX
Clayton loves riding Ferris wheels and roller coasters. While visiting the Lee County Fair, he first went on the Ferris wheel 1 time and the roller coaster 4 times, using a total of 23 tickets. Then, after taking a break and having a snack, Clayton went on the Ferris wheel 5 times and the roller coaster 3 times, using a total of 30 tickets. How many tickets does it take to ride each attraction?

It takes ____tickets to ride the Ferris wheel, and ____tickets to ride the roller coaster.

Answer 1

f + 4c = 23......multiply by -5
5f + 3c = 30
-----------------
-5f - 20c = -115 (result of multiplying by -5)
5f + 3c = 30
----------------add
-17c = - 85
c = -85/-17
c = 5 <=== roller coaster costs 5 tickets per ride

f + 4c = 23
f + 4(5) = 23
f + 20 = 23
f = 23 - 20
f = 3 <=== the ferriswheel costs 3 tickets per ride