Question

Beth is purchasing chocolate and vanilla ice cream cups for a birthday party. She needs a total of 24 ice cream cups and twice as many chocolate cups as vanilla cups. Set up the two equations that can be used to find the number of each flavor of cups that Beth needs to purchase. Let the equation that represents the total number of ice cream cups be referred to as constraint 1. Let constraint 2 refer to the equation that describes the ratio of the number of chocolate cups to vanilla cups.

Answer 1

constraint 1
let
x = number of cups of chocolate
y = number of cups of vanilla
The equation that represents the total number of ice cream is:
x + y = 24
constraint 2
the ratio of the number of chocolate cups to vanilla cups is
y = (1/2) x
Using equations 1 and 2, you can find the number of cups of each favor required.
answer:
x + y = 24
y = (1/2) x