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

Answer:

Option a. is correct.

Step-by-step 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,

$35.97+7.50p\leq 60\\7.50p\leq 60-35.97\\7.50p\leq 24.03\\p\leq \frac{24.03}{7.50}=3.204$

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.