SOLUTION: A group of students takes their math teacher out for lunch. If five have hamburgers and three have hot dogs, the bill will be $24.25. If three have hamburgers and five have hot d
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Question 420062: A group of students takes their math teacher out for lunch. If five have hamburgers and three have hot dogs, the bill will be $24.25. If three have hamburgers and five have hot dogs, the bill be be $21.75. What is the price of the hamburger? Found 2 solutions by mananth, josmiceli:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Hamburgers ----- x
Hotdogs ------------ y
5 x + 3 y = 24.25 .............1
3 x + 5 y = 21.25 .............2
multiply (1)by -5
Multiply (2) by 3
-25 x + -15 y = -121.25
9 x + 15 y = 63.75
Add the two equations
-16 x + 0 y = -57.5
/ -16
x=3.59
plug value of x in (1)
5 x + 3 y = 24.25
17.97 + 3 y = 24.25
3 y = 24.25 + -17.97
3 y = 6.28
y = 2.09
You can put this solution on YOUR website! Let cost of a hamburger =
Let cost of a hot dog =
given:
(1) (in cents)
(2) (in cents)
----------------
Multiply (1) by and (2) by
(1)
(2)
Subtract (1) from (2)
(2)
(1)
Plug this into (2)
(2)
The price of a hamburger is $3.50
check:
(1)
(1)
(1)
(1)
OK
