Question

Question 5

Answer 1

Answer:

$B = \frac{31.5}{5.25}= 6$

$H = 18-6= 12$

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:

$6.75 H +1.50 B =90$  (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:

$B = \frac{31.5}{5.25}= 6$

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