Question

The students council is setting up a concession stand for a 24 hour relay. They plan on selling hotdogs and hamburgers. A max of 600 hamburgers and hotdogs are needed. From the previous year's relay the demand should be at least four times as many hot dogs as hamburgers.
a) Define the variables b) Are there any restrictions c) Write a system of linear inequalities to represent this situation

Answer 1

Right now im not so sure about a)
but b) is 5y < 600 (because 1y is hamburgers and 4y is hot dogs)
Thats what i have so far :D

Answer 2

thanks! better than what I'm getting that's for sure

Answer 3

What variables are there (things that might change)?
I think it's just the number of hot dogs and the number of hamburgers.

Let b=number of hotdogs, and h=the number of hamburgers.

Answer 4

What relationships are there between the number of hotdogs and the number of hamburgers?

Answer 5

That's all the information I was given. I really don't understand these problems.

Answer 6

We know that the total number of hot dogs and hamburgers can't be greater than 600.

If b=# of hotdogs and h=# of hamburgers, how would you express the number of hotdogs and hamburgers combined?

Answer 7

what I came up with was 4b+h is less than or equal to 600

Answer 8

Hmm, not quite.
You need two equations in the end. One is about the total number of hotdogs and hamburgers, one is about the ratio of hotdogs to hamburgers.

Answer 9

I'm stumped. The only thing I see is b is great than 0 and h is greater than 0 ?

Answer 10

So, there are a total of, at most, 600 food items:
b+h≤600

Answer 11

Since there ate at least 4 times as many hotdogs than hamburgers, we also have:
b≥4h

Answer 12

Ohh okay I see that now. I have trouble pulling out an equation from word problems. Thank you.