Question 5

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Mark purchased packages of hamburgers for $6.75 each and B packages of buns for $1.50 each. He purchased 18 items and spent $90. Which system of equations could be used to

determine how many of each item Mark purchased?

So then Mark purchased 12 Hamburgers and 6 packages of buns

Step-by-step explanation:

For this case we can define the following notation:

B represent the number of packages buns

H represent the number of hamburgers

And from the information given we can set up the conditions into the following equations:

 (1) represent the total cost

 (2) represent the total number of items

Solving H from equation (2) we got:

  (3)

And replacing equation (3) into equation (1) we got:

And dsitributing the terms we have:

And solving for B we got:

And dividing by 5.25 we got:

And replacing the value of B into equation (3) we got:

So then Mark purchased 12 Hamburgers and 6 packages of buns

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4