SOLUTION: At a competing cupcake store, $4,520, worth of cupcakes are sold daily. The chocolate cupcakes cost $2.25 and the red velvet cupcakes cost $1.75. If the total number of cupcakes so

Algebra ->  Matrices-and-determiminant -> SOLUTION: At a competing cupcake store, $4,520, worth of cupcakes are sold daily. The chocolate cupcakes cost $2.25 and the red velvet cupcakes cost $1.75. If the total number of cupcakes so      Log On


   

Question 1107534: At a competing cupcake store, $4,520, worth of cupcakes are sold daily. The chocolate cupcakes cost $2.25 and the red velvet cupcakes cost $1.75. If the total number of cupcakes sold per day is 2,200, how many of each flavor are sold each day?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
v, red velvet
c, chocolate
system%282.25c%2B1.75v=4520%2Cc%2Bv=2200%29

Simplify and solve.

---For a better outline of what to do-------------------------------------------------------------------------------

ASSIGN VARIABLES
v, red velvet cupcakes
c, chocolate cupcakes

WRITE EQUATIONS LITERALLY FROM THE DESCRIPTION
system%282.25c%2B1.75v=4520%2Cc%2Bv=2200%29

SIMPLIFY THE SYSTEM OF EQUATIONS
Multiplying the members of the first equation by 4 will give whole-number coefficients on the left side.

SOLVE THE SYSTEM
Use either Elimination Method or Substitution Method.