15) You are buying balloons and cupcakes for your friend's birthday party. Balloons cost $2 each and cupcakes cost $5
each. You buy 10 more cupcakes than balloons and spend a
total of $85. How many balloons and how many cupcakes did you buy?
A. Identify the variable:
B. Express other unknowns using the variable:
C. Write the equation in words: =
D. Translate the words to math: +
E. Solve the equation:
F. Interpret your solution: :

variable is number of balloons

b = balloons

b+10 = cupcakes

85 = 2b + 5b + 50 = 7b + 50

Step-by-step explanation:

#cupcakes = 10 + b #balloons

total cost $85 = ($2 x b) + $5 x (b + 10)

                          balloons       cupcakes

85 = 2b + 5b + 50 combine terms and subtract 50 from both sides of =

35 = 7b then divide both sides by 7

5 balloons

15 cupcakes

b.an increase in a causes b to decrease

table 3 represents a direct variation function. : )