Question

Question 6 (9 points) At CJ's Diner, there are three sizes of coffee drinks: regular (300 mL), large (500 mL) and extra large (800 mL), and they cost $2.25, $3.25 and $5.75, respectively. On a particular afternoon, the diner sold a total of 37 coffees. The total volume of coffee sold was 19,100 mL and the amount of money made in coffee sales was $133.25. How many of each size of drink did customers buy that afternoon? Regular:Large:Extra Large:

Answer 1

regular (r)

Large (l)

ExtraLarge (e)

$300r+500l+800e=19100\text{ }$

this is the equation 1

the equation 2:

$2.25r+3.25l+5.75e=133.25$

the equation 3:

$r+l+e=37$$\begin{bmatrix}{300} & {500} & {800} \\ {2.25} & {3.25} & {5.75} \\ {1} & {1} & {1}\end{bmatrix}=\begin{bmatrix}{19100} & {} & {} \\ {133.25} & {} & \\ {37} & & \end{bmatrix}$

r=12

l=15

e=10