Question

Question 5

Review

Listen

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?

Answer 1

`B = (31.5)/(5.25)= 6`

`H = 18-6= 12`

So then Mark purchased 12 Hamburgers and 6 packages of buns

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:

`6.75 H +1.50 B =90` (1) represent the total cost

`H +B =18` (2) represent the total number of items

Solving H from equation (2) we got:

`H = 18 -B` (3)

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

`6.75 (18-B) +1.5 B =90`

And dsitributing the terms we have:

`121.5 -6.75 B +1.5 B =90`

And solving for B we got:

`121.5-90 = 5.25 B`

And dividing by 5.25 we got:

`B = (31.5)/(5.25)= 6`

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

`H = 18-6= 12`

So then Mark purchased 12 Hamburgers and 6 packages of buns