Elena bought 49 packs of red balloons, 66 packs of blue balloons, and 35 packs of yellow balloons. Each contained 12 balloons. She mixed them up and gave away some balloons. She then repacked the balance into packs of 25.
QUESTION A: How many balloons were there altogether?
QUESTION B: She gave away 225 balloons. How many large packs of 25 balloons were there?
QUESTION C: She paid $3 for each pack of a dozen balloons. She sold each new pack of 25 balloons for $10. How much money did she make?
ANSWER BY OCTOBER 30TH 2018 9:15 PM
A and B are trivial; simple multiplication and then subtraction and division
for C, you have for the 150 packs of balloons
cost = 150*3
income = 150*12 / 25 * 10
Cory ordered 28 black balloons and 28 silver balloons for a graduation party. If 9 of them pop, he will have
balloons left.
To find the answer for each question, we can break down the problem step by step.
QUESTION A: How many balloons were there altogether?
To get the total number of balloons, we need to calculate the total number of balloons in each color and then add them together. We know that each pack contains 12 balloons, so we can multiply the number of packs by 12 for each color:
49 packs of red balloons x 12 balloons/pack = 588 red balloons
66 packs of blue balloons x 12 balloons/pack = 792 blue balloons
35 packs of yellow balloons x 12 balloons/pack = 420 yellow balloons
Now, we add up the number of balloons for each color:
588 red balloons + 792 blue balloons + 420 yellow balloons = 1800 balloons.
Therefore, there were 1800 balloons altogether.
QUESTION B: She gave away 225 balloons. How many large packs of 25 balloons were there?
To find the number of large packs of 25 balloons, we divide the number of balloons given away by 25:
225 balloons / 25 balloons/pack = 9 large packs of 25 balloons.
Therefore, there were 9 large packs of 25 balloons.
QUESTION C: She paid $3 for each pack of a dozen balloons. She sold each new pack of 25 balloons for $10. How much money did she make?
To find the total money she made, we need to calculate the total cost of buying the balloons and the total money she received from selling them.
First, we calculate the total cost of buying the balloons. Each pack of a dozen balloons costs $3, so we multiply the number of packs by the cost per pack for each color:
49 packs of red balloons x $3/pack = $147 for red balloons
66 packs of blue balloons x $3/pack = $198 for blue balloons
35 packs of yellow balloons x $3/pack = $105 for yellow balloons
Now, we add up the total cost for each color:
$147 for red balloons + $198 for blue balloons + $105 for yellow balloons = $450
Therefore, she spent $450 buying the balloons.
Next, we calculate the total money received from selling the balloons. Each new pack of 25 balloons sells for $10, so we multiply the number of large packs by the selling price:
9 large packs of 25 balloons x $10/pack = $90
Therefore, she made $90 selling the balloons.
To find the total profit, we subtract the cost from the revenue:
Total profit = Total money received - Total cost
Total profit = $90 - $450 = -$360
Therefore, she made a loss of $360.