SOLUTION: Vendor tells John that two hot dogs and one soda cost ten dollars and three hot dogs and two sodas cost sixteen dollars and fifty cents. How much does each cost?

Algebra.Com
Question 259709: Vendor tells John that two hot dogs and one soda cost ten dollars and three hot dogs and two sodas cost sixteen dollars and fifty cents. How much does each cost?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
From eq.1,

Substitute into eq. 2 and solve for H.






Then from eq. 1,



Hot dogs are $3.50 and sodas are $3.00.

RELATED QUESTIONS

A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if (answered by josgarithmetic)
A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if (answered by josgarithmetic)
Two hot dogs and a soda cost $5. If a hot dog costs $1 more than a soda, how much is two... (answered by josgarithmetic)
Two hot dogs and one hamburger cost $3.39. Three hot dogs and three hamburgers cost... (answered by LilSkittleMd)
Two hot dogs and one hamburger cost $3.39. Three hot dogs and three hamburgers cost... (answered by Maths68)
At the football game, your group buys 10 hot dogs and 5 sodas and pays $12.50. Another... (answered by jojo14344)
a hot dog and a soda cost $2.25 and two hotdogs and three sodas cost $5.25 find the... (answered by algebrahouse.com,stanbon)
At a concession stand, three hot dogs and two hamburgers cost $7.50; two hot dogs and... (answered by josmiceli)
I am trying to figure out how to solve this word problem for my math homework: The... (answered by ewatrrr)