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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 ​$124.20 ​(excluding tax) on foil balloons that cost ​$1.92 each and latex​ school-color balloons that cost ​$ 0.19 each. Each player received 9 ​balloons, and all the balloon bouquets were identical. How many of each type of balloon did each bouquet​ include?

Respuesta :

Tacocat200113672

Answer:

3 foil, 6 latex

Step-by-step explanation:

First, you can put all of these words words into equations. We know there are 162 ballons (18 players)(9 bouquets). So we can put it in the equation

x + y = 162

Since each foil balloon costs $1.92 and each Latex balloon costs $.19 and they all cost $124.20. We can put it in an equation:

.19x + 1.92y = 124.20

You then get the systems of equations:

x + y = 162

.19x + 1.92y = 124.20

solving for the equation, you get x = 54 and y = 108. BUT, you have to be careful. The problem said "How many of each type of balloon did each bouquet​ include?" So we need to divide both by 18 for the player because each player recieved on bouquet.

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