Question

Jim went to a carnival with $25.00. He bought some food for $3.75. Jim wants to spend the rest of his money on tickets for rides, r, which cost $1.25 each. Which represents, r, the number of tickets Jim can purchase?

(A) r is < than equal to 17

(B) r is > greater than equal to 17

(C) r is < less than equal to 20

(D) r is > greater than equal to 20

Answer 1

(A)
`r` is < than equal to 17

Explanation:

Total amount Jim had for the carnival =$25.00

Amount spent on food = $3.75

Amount left with him =
`\$25.00-\$3.75=\$21.25`

Jim plans to sped rest on tickets for rides.

Cost of each ride ticket = $1.25

Given:
`r` represents the number of ride tickets bought.

Using unitary method

If 1 ride ticket cost = $1.25

Cost of
`r` ride tickets in dollars will be =
`1.25r`

Amount spent on rides must be less than or equal to the total amount left with Jim which is =$21.25.

So, we have:

⇒
`1.25r\leq 21.25`

Dividing both sides by 1.25.

⇒
`(1.25r)/(1.25)\leq (21.25)/(1.25)`

∴
`r\leq 17`

Thus, the inequality representing te number of tickets Jim can purchase is given by:

`r\leq 17`