Question

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $18.86. James ordered a medium drink, a hamburger, and 2 medium fries and paid $7.92. Steven ordered 2 hamburgers, medium fries, and a medium drink for $10.08. How much did each item cost?

Answer 1

Answer:  Cost of hamburger is $3.62

Cost of medium fries is $1.46.

Cost of medium drinks is $1.38.

Step-by-step explanation:

Let the cost of hamburgers be 'x'.

Let the cost of medium fries be 'y'.

Let the cost of medium drink be 'z'.

So, According to question, it becomes,

$4x+3y=\ 18.86--------------(1)\\\\x+2y+z=\ 7.92--------------------(2)\\\\2x+y+z=\ 10.08--------------------(3)$

So, we need to find the cost of each item.

Using matrix method, we get that

z=1.38,y=1.46,x=3.62

So, Cost of hamburger is $3.62

Cost of medium fries is $1.46.

Cost of medium drinks is $1.38.

Answer 2

Hamburger: $3.25
Medium Fries: $1.45
Medium Drink: $1.39