Question

a ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. michael went on the two rides a total of 10 times and spent a total of 37 tickets.

ride tickets

	times on the ride	tickets per ride	total tickets
boat ride	( 10 - r )	3	( 3(10 - r) )
total	10		37

which equation is true?

• ( r(10 - r) = 10 )
• ( r + (10 - r) = 4 + 3 )
• ( 4r + 3(10 - r) = 37 )
• ( 4r cdot 3(10 - r) = 37 )

Explanation:

Step1: Analyze Roller Coaster Tickets

Roller coaster: \( r \) times, 4 tickets per ride. Total tickets: \( 4r \).

Step2: Analyze Boat Ride Tickets

Boat ride: \( 10 - r \) times, 3 tickets per ride. Total tickets: \( 3(10 - r) \).

Step3: Total Tickets Equation

Total tickets spent: 37. So sum of both rides' tickets: \( 4r + 3(10 - r) = 37 \).

Answer:

\( 4r + 3(10 - r) = 37 \) (the third option)