Question

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $13.44. James ordered a medium drink, a hamburger, and 2 medium fries and paid $5.81. Steven ordered 2 hamburgers, medium fries, and a medium drink for $7.35. How much did each item cost?

Answer 1

divide 13.44 by 4 to get the hamburger cost. then divide 13.44 by 3 to get the fries cost. do the same to the other amount to get a cost for every item

Answer 2

Answer:

Hamburger costs $2.58

Fries costs $1.04

Drink costs $1.15

Step-by-step explanation:

Let hamburgers cost = h

Let fries cost = f

Let drinks cost = d

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $13.44.

$4h+3f=13.44$     ....(1)

James ordered a medium drink, a hamburger, and 2 medium fries and paid $5.81.

$h+2f+d=5.81$    ....(2)

Steven ordered 2 hamburgers, medium fries, and a medium drink for $7.35.

$2h+f+d=7.35$    ....(3)

Subtracting (2) from (3) to eliminate d

$h-f=1.54$     ....(4)

Now multiplying (4) by 4 and subtracting from (1) to eliminate h

$7f=7.28$

f = $1.04

Now $h-f=1.54$

$h-1.04=1.54$

$h=1.54+1.04=2.58$

h = $2.58

We know $h+2f+d=5.81$

Substituting values of h and f

$2.58+2(1.04)+d=5.81$

$2.58+2.08+d=5.81$

$4.66+d=5.81$

$d=5.81-4.66=1.15$

d = $1.15

Therefore, a hamburger costs $2.58

Fries costs $1.04

Drink costs $1.15