Every day, a cupcake store sells 4000 cupcakes in chocolate and vanilla flavors.

Question

Every day, a cupcake store sells 4000 cupcakes in chocolate and vanilla flavors. If the chocolate flavor is 9 times as popular as the vanilla flavor, how many of each cupcake is sold per day?

Answer 1

This is a fairly friendly linear system in two variables. We have:

Chocolate cupcakes: C

Vanilla cupcakes: V

We know that they total 4,000:

C + V = 4,000

We also know their ratio:

C = 9V   Substituting into the other equation, we have:

9V + v = 4,000

10V = 4,000

10           10

  V  = 400

This means C = 9*400 = 3,600