Question

Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $9 per pack, while hamburgers cost $6 per pack with taxes

included. Jerry can spend a maximum of $100 on the food.

Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?

Answer 1

Answer: 9x+6y ≤10

Explanation:

Let x= number of packs of hot dogs .

y =number of packs of hamburger.

Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)

i.e. Total expenditure =9x+6y ( in $)

Jerry can spend a maximum of $100 on the food.

So, Total expenditure ≤ $100

i.e. 9x+6y ≤10 [Required inequality]

The inequality that represents this situation:9x+6y ≤10