SOLUTION: Clifford is decorating mini cupcakes and deluxe cupcakes. A mini cupcake uses 0.6 ounces of frosting and 2 candies, while a deluxe cupcake uses 1.5 ounces of frosting and 6 candies

Algebra ->  Finance -> SOLUTION: Clifford is decorating mini cupcakes and deluxe cupcakes. A mini cupcake uses 0.6 ounces of frosting and 2 candies, while a deluxe cupcake uses 1.5 ounces of frosting and 6 candies      Log On


   

Question 1126888: Clifford is decorating mini cupcakes and deluxe cupcakes. A mini cupcake uses 0.6 ounces of frosting and 2 candies, while a deluxe cupcake uses 1.5 ounces of frosting and 6 candies. Clifford has 43.5 ounces of frosting and 162 candies available. How many mini cupcakes and deluxe cupcakes should Clifford decorate to use up all of his frosting and candies?


Number of mini cupcakes:



Number of deluxe cupcakes:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
which kind             mini        deluxe       totals

variable                  x          y          


ounces frosting           0.6       1.5          43.5
per cupcake


number of                 2         6           162
candies per
cupcake

system%280.6x%2B1.5y=43.5%2C2x%2B6y=162%29

simplify the system:
system%286x%2B15y=435%2Cx%2B3y=81%29

system%282x%2B5y=145%2Cx%2B3y=81%29

Either substitution method can be used, or elimination method can be tried.

system%28highlight%28x=30%29%2Chighlight%28y=17%29%29

30 mini cupcakes
17 deluxe cupcakes