Answer:
Cups = 24
Plates = 48
Balloons = 12
Total = 84
Explanation:
Serena's mom is planning her birthday party. She bought balloons, plates, and cups. Serena's mom brought twice as many plates as cups. The number of balloons Serena's mom bought was half the number of cups. If Serena's mom bought 84 items, how many of each item did she buy.
Let
c = number of cups
Serena's mom bought twice as many plates as cups.
2c = number of plates
number of balloons Serena's mom bought was half the number of cups
0.5c = the number of balloons
Total items = 84
c + 2c + 0.5c = 84
3.5c = 84
Divide both sides by 3.5
3.5c / 3.5 = 84 / 3.5
c = 24
c = number of cups = 24
2c = number of plates = 2 * 24 = 48
0.5c = the number of balloons = 0.5*24 = 12
Cups = 24
Plates = 48
Balloons = 12
Total = 84