Question

Elisha wants to attend the town carnival. the price of the admission to the carnival is $5.50, and each ride costs an additional 88 cents. if he can spend at most $26.00 at the carnival, which inequality can be used to solve for r the number of rides elisha can go on, and what is the maximum number of rides he can go on?
(1) 5.50 + 0.88r ≤ 26.00; 23 rides
(2) 0.88 + 5.50r ≤ 26.00; 23 rides
(3) 5.50 + 0.88r ≤ 26.00; 24 rides
(4) 0.88 + 5.50r ≤ 26.00; 24 rides
please explain

Answer 1

Answer:

5.50 + 0.88r ≤ 26.00; 24 rides

or 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

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Answer 2

Answer:

(1) 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

First of all, please understand the equation itself. We are multiplying 0.88 by r, or the number of rides. First, lets determine how many rides Elisha can ride. 0.88 * 23 = 20.24. And 20.24 + 5.50 = 25.74. This is less than 26.00. Now, 0.88 * 24 = 21.12 + 5.50 = 26.7. Though not by much, this is more than 26.00, so, Elisha cannot ride more than 23 rides. That eliminates options (3) and (4). The difference between (1) and (2) is that in (1) we are multiplying 0.88 by r which is correct, however, option (2) is multiplying 5.50 by r which is incorrect. Thus we have our answer. However, please note one important thing. I want you to understand the reason for the "≤" sign as this is very different from <. The sign used here indicates "less than OR equal to" whereas the other is "less than." The sign used indicates that this is the MAX Elisha can spend but he could also spend less. This may seem simple but it is crucial to have a good understanding of this concept as you progress. Any further questions just comment! Hope this helps:) P.S. do not just take the answer! READ, PRACTICE, AND UNDERSTAND.