Problema Solution

When the​ women's soccer team won the state​ championship, the parent boosters welcomed the team back to school with a balloon bouquet for each of the 18 players. The parents spent a total of ​$83.34 ​(excluding tax) on foil balloons that cost ​$1.93 each and latex​ school-color balloons that cost ​$0.11 each. Each player received 9 ​balloons, and all the balloon bouquets were identical. How many of each type of balloon did each bouquet​ include?

Answer provided by our tutors

Let

x = the number of foil balloons in each bouquet 

y = the number of latex school-color balloons in each bouquet 

x + y = 9

18*(1.93x + 0.11y) = 83.34

........

click here to see the system of equations solved for x and y

........

x = 2 foil balloons

y = 7 latex school-color balloons

Each bouquet included 2 foil and 7 latex school-color balloons.