SOLUTION: At the caf� the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price o

Question 900020: At the caf� the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price of each type of dinner?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At the caf� the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price of each type of dinner?
-----------
Equations:
4f + 3b = 48 dollars
3f + 2b = 34 dollars
-----------------------
Modify::
12f + 9b = 3*48
12f + 8b = 4*34
-------------------------
Subtract and solve for "b"::
b = 8 (price of one burrito dinner)
----
Solve for "f" using 3f + 2b = 34
3f + 16 = 34
3f = 18
f = 6 (price of one fajita dinner)
================
Cheers,
Stan H.
----------------
RELATED QUESTIONS
Translate to an equation: d $25 dinners and l $10 lunches total $150 Graph the... (answered by rwm)

Translate to an equation: d $25 dinners and l $10 lunches total $150 Graph the... (answered by jorel1380)

Your company reached it sales goals for the year so you decide to buy dinner for your 45... (answered by josgarithmetic)

Your company reached it sales goals for the year so you decide to buy dinner for your 45... (answered by josmiceli)

To make a non-vegetarian fajita at Freebirds, you must choose between a flour or corn... (answered by math_helper)

at the highschool band's annual spaghetti dinner, the members served 210 dinners and... (answered by stanbon)

Please help me and thank you. Your company reached its sales goals for the year so... (answered by brysca)

At an awards banquet, the bill for three glasses of milk and five seafood dinners is... (answered by stanbon)

Please help! The caterers for a semi formal dinner and dance are preparing two different... (answered by macston)