Question

Jimmy brings $24 to the county fair for rides. Roller coaster rides cost $2, and the spinning cup rides cost $3. But Jimmy knows that he gets queasy if he takes more than 6 roller coaster rides or more than 8 spinning cup rides. Let r represent the number of roller coaster rides and let s represent the number of spinning cup rides. In addition to r≥0;s≥0, which is a set of of inequalities that Jimmy can use to guide his choice of rides?

Answer 1

Answer:

2r + 3s ≤ 24

r ≤ 6

s ≤ 8

Step-by-step explanation:

Given the following :

Total amount with Jimmy = $24

Cost of Rollercoaster ride (r) = $2

Cost of spinning cup ride (s) = $3

Queasy if r is greater than 6

Queasy if s is greater than 8

Cost of ride :

(Number of r * cost of r) + (number of s * cost of s) ≤ total amount

Hence,

2r + 3s ≤ 24

To avoid getting queasy :

r ≤ 6

s ≤ 8

2r + 3s ≤ 24

r ≤ 6

s ≤ 8