SOLUTION: 1. 7hot dogs and 4 hamburgers cost $15.00 how much does 1 Hot dog cost? 2. 4 hotdogs and 7 hamburgers $18.00 how much does 1 hamburger cost?

Question 707420: 1. 7hot dogs and 4 hamburgers cost $15.00 how much does 1 Hot dog cost?
2. 4 hotdogs and 7 hamburgers $18.00 how much does 1 hamburger cost?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. 7hot dogs and 4 hamburgers cost $15.00 how much does 1 Hot dog cost?
2. 4 hotdogs and 7 hamburgers $18.00 how much does 1 hamburger cost?
---------------------
Equations:
7t + 4h = 15
4t + 7h = 18
------
Modify for elimination:
28t + 16h = 60
28t + 49h = 126
-----
33h = 66
h = $2.00 (cost of one hamburger)
-------
Solve for "t":
4t + 7h = 18
4t + 7*2 = 18
4t = 4
t = $1.00 (cost of one hot dog)
================================
Cheers,
Stan H.
RELATED QUESTIONS
Arthur bought three hamburgers and four hot dogs for $10. The next day, he bought two... (answered by mananth)

if 2 hotdogs and 1 hamburger costs 3.39. and 3 hotdogs and 3 hamburgers cost 6.57, how... (answered by checkley71)

a hamburger costs $0.30 more than a hot dog and $0.20 less than a cheeseburger if 3... (answered by josgarithmetic)

You are at the buger barn. Two hamburgers and one hot dog cost $4.82. At the same price,... (answered by stanbon)

At a concession stand 7 hot dogs and 2 hamburgers cost $10.00. 2 hot dogs and 7... (answered by Cromlix)

If Thomas buys 6 hamburgers and 2 chilidogs, he pays $33.32. If he buys 3 hamburgers... (answered by josmiceli)

at a concession stand, 7 hotdogs and 2 hamburgers cost a total of $14.50; two hot dogs... (answered by macston)

Pharrell and Justin are buying hot dogs and hamburgers for the football concession stand. (answered by ikleyn)

At a concession stand, five hotdogs and two hamburgers cost $10.25; two hotdogs and five... (answered by MathLover1,rothauserc)