SOLUTION: Translate the problem to a system of equations and solve for costs.
Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of on
Algebra.Com
Question 381522: Translate the problem to a system of equations and solve for costs.
Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of one sandwich and the cost of one soda?
Found 2 solutions by stanbon, checkley79:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of one sandwich and the cost of one soda?
----
Equations:
6d + 5s = 3695 cents
4d + 5s = 3230 cents
-----------------------
Subtract and solve for "d":
2d = 465 cents
d = 232.5 cents
----
A sandwich costs $2.33
----
Substitute and solve for "s":
4(232.5) + 5s = 3230
930 + 5s = 3230
5s = 2300
s = $4.60 (Price of a soda)
================================
Cheers,
Stan H.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
6SA+5SO=36.95
5SA+5SO=32.20 SUBTRACT
---------------------
SA=$4.75 COST OF 1 SANDWICH.
6*4.75+5SO=36.95
28.50+5SO=36.95
5SO=36.95-28.50
5SO=8.45
SO=8.45/5
SO=$1.69 COST OF 1 SODA.
PROOF:
5*4.75+5*1.69=32.20
23.75+8.45=32.20
32.20=32,20
RELATED QUESTIONS
Method of Elimination solving Problem
15. Bhargav stops in at a deli to get lunch... (answered by checkley77)
At a sandwich shop, 6 sandwiches and 2 sodas cost the same as 5 sandwiches and 5 sodas. A (answered by ewatrrr)
hi :)
I need help setting up a system of equations for this word problem:
Joe bought... (answered by ankor@dixie-net.com)
At M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three... (answered by ikleyn,josgarithmetic)
Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per (answered by josgarithmetic)
for the following questions assign a variable to each unknown quanity. then translate the (answered by josmiceli)
You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50.... (answered by ikleyn)
Translate the following into a system of equations, then solve it.
A customer walks... (answered by SandyBeach,checkley77)
2. Translate the following into a system of equations, then solve it:
A customer walks (answered by )