SOLUTION: If you buy seven hamburgers and three sodas at a local fast food restaurant, you receive one dollar in change from a $20 bill. If you buy ate hamburgers and two sodas, you receive

Question 1105045: If you buy seven hamburgers and three sodas at a local fast food restaurant, you receive one dollar in change from a $20 bill. If you buy ate hamburgers and two sodas, you receive $.50 in change from a $20 bill. How much change will you receive from a five dollar bill if you buy one hamburger and one soda
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the cost of 1 hamburger
Let = the cost of 1 soda
-------------------------------------
(1)
(2)
-------------------------
(1)
(2)
(2)
-------------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
Then subtract (1) from (2)
------------------------------------
(2)
(1)
--------------------------

and
(1)
(1)
(1)
(1)
----------------------------
1 hamburger and 1 soda =

Change from $5 is

$2.27 is the change from a $5 bill
check the math!

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The other tutor's answer is not right; perhaps you can see where she made her mistake....

you get $1 change from a $20 bill when buying 7 burgers and 3 sodas
you get $0.50 change from a $20 bill when buying 8 burgers and 2 sodas

Use elimination: multiply the first equation by 2 and the second by 3 and subtract to eliminate y:

each burger costs $2.05

Substitute in either original equation to solve for y:

each soda costs $1.55

One burger and one soda costs $3.60; you get $1.40 change from a $5 bill.
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