Question

Jennifer is at an amusement park, where roller coaster rides cost 5 tickets each and all other rides cost 3 tickets each. She has time for no more than 12 rides, and she can use no more than 55 tickets.
The system below represents the above conditions, where x is the number of roller coaster rides and y is the number of other rides.

{x+y≤125x+3y≤55
Consider the options below.

Option 1: 8 roller coaster rides and 5 other rides
Option 2: 9 roller coaster rides and 3 other rides
Which option(s), if any, are viable for Jennifer?

A
Option 1 only

B
Option 2 only

C
Both options 1 and 2

D
Neither option 1 nor option 2

Answer 1

Super easy, simply add the amount of rides in Options 1 and 2. Option 1 offers 8 coasters and 5 other rides. 8+5=13.

Jennifer can get on no more than 12 rides. Option 1 is incorrect.

Option 2 suggests 9 coasters and 3 rides. 9+3=12. This is doable.

The answer is B. Option 2 Only

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