Question

Tony has 60$ to buy souvenirs for his grandkids at the baseball game. pennants cost $7.50 and hats cost $11.99. this relationship can be represented by the inequality 7.5p +11.99h ≤ 60. three of tony's grandkids want hats. which inequality represents how many pennants he can buy? a.0 ≤ p ≤ 3.204 b. p ≤ 3 c.0 ≤ p ≤ 3 d. p ≤ 3.204

Answer 1

Option a. is correct.

Explanation:

Given: Total amount with Tony is 60$. Pennants cost $7.50 and hats cost $11.99.

To find: inequality that represents number of pennants bought by Tony if three of tony's grand kids want hats

Solution:

p denotes number of pennants and h denotes number of hats.

As three of tony's grand kids want hats,
`h=3`

Total cost of 3 hats =
`3(11.99)=\$35.97`

Cost of one pennant = $7.50

According to question,

`35.97+7.50p\leq 60\\7.50p\leq 60-35.97\\7.50p\leq 24.03\\p\leq (24.03)/(7.50)=3.204`

Also, being number of pennants,
`0\leq p`

So, inequality that represents number of pennants Tony can buy is
`0\leq p\leq 3.204`

Option a. is correct.