Gabe is at the annual town carnival where Ferris wheel rides cost 5 tickets each and all other rides cost 3 tickets each. He has time for no more than 10 rides, and he can buy no more than 40 tickets. He is also not interested in riding the Ferris wheel more than 4 times. The system below represents the above conditions, where \( x \) is the number of Ferris wheel rides and \( y \) is the number of other rides. \[ \left\{\begin{array}{l|} x+y \leq 10 \\ \hline 5 x+3 y \leq 35 \\ x \leq 4 \\ \hline \end{array}\right. \] Which of these options for the number of rides that Gabe can ride at the carnival are reasonable? Select THREE correct answers. A. \( \square \) 4 Ferris wheel rides and 6 other rides B. \( \square \) 3 Ferris wheel rides and 6 other rides C. \( \square \) 2 Ferris wheel rides and 8 other rides D. \( \square \) \( \square \) 2 Ferris wheel rides and 7 other rides E . \( \square \) 1 Ferris wheel ride and 10 other rides
Added by Luz A.
Close
Step 1
- Total rides constraint: \( x + y \leq 10 \) - Ticket constraint: \( 5x + 3y \leq 35 \) - Ferris wheel rides constraint: \( x \leq 4 \) Show more…
Show all steps
Your feedback will help us improve your experience
Vishal Parmar and 54 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Rachel and Cuong are going to the fair. Rachel has $\$ 13.50$ to spend and calculates that she will spend all her money if she takes four rides and plays three games. Cuong has $\$ 15.50$ and calculates that he will spend all his money if he takes two rides and plays five games. a. Choose variables and write equations to describe this situation. b. Use substitution to find the costs to go on a ride and to play a game.
Solving Equations
Solving Systems of Equations
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
Allison K.
ADMISSION PRICES Your family and friends are going to an amusement park. Adults pay $\$ 25$ per ticket and children pay $\$ 15$ per ticket. Your group has 13 children and your total bill for tickets is $\$ 370 .$ How many adults are in your group? Choose the verbal model that represents this situation. A. BOX NOT COPY B. BOX NOT COPY C. BOX NOT COPY D. BOX NOT COPY
Connections to Algebra
A Problem Solving Plan Using Models
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD