Thank you for the answer now I understand. For the next question I made a mistake this is the question elli has two 8 and 1/2 pound bags of mints. She plans to put 1/12 pound at each place setting. Will she have enough mints? She has 256 guests I think that means 256 place setting? Sorry about the no complete question before. Can I ask another problem? It is the same 256 guests. The question is that the school colors are blue and white. She has 84 blue balloons and 96 white balloons . How many balloon bouquets can she make if she wants to have the same number of each color in each bouquet and use all of her balloons? Thank you so much !! PLEASE help with the other questions . I can breath now.
2bags * 8.5Lbs/bag = 17 Lbs of mints.
17/(1/12) = 17 * 12/1=204 Place setting.
256-204 = 52 Short.
wait what does short mean?
8 1/2 x 2 = 17 because the problem says he has two 8 1/2 pound bags.
You have to divide because she's dividing them in sections.
17/1/12 = 204 and since there are 256 children there is not enough.
The answer is No, she is 52 mints short.
Henry, but wouldn't you have to turn 8 1/2 it 9/2?
No,Because your supposed to multiply you denominator times the whole number
Sure! Let's break down each question step by step.
1) Elli has two 8 and 1/2 pound bags of mints and plans to put 1/12 pound at each place setting. She has 256 guests, so she needs to calculate if she has enough mints.
To find out if Elli has enough mints, we need to calculate the total amount of mints needed. We can do this by multiplying the weight per place setting (1/12 pound) by the number of place settings (256).
1/12 pound * 256 place settings = 256/12 = 21 and 1/3 pounds
Since Elli has two 8 and 1/2 pound bags of mints, we can calculate the total amount of mints she has.
2 * (8 and 1/2 pounds) = 2 * (8 + 1/2) = 2 * 17/2 = 17 pounds
Comparing the total amount of mints needed (21 and 1/3 pounds) to the total amount of mints Elli has (17 pounds), we can see that she does not have enough mints for all the guests.
Therefore, Elli does not have enough mints to put 1/12 pound at each place setting for 256 guests.
Now, let's move on to the second question.
2) Elli has 84 blue balloons and 96 white balloons, and she wants to make balloon bouquets with the same number of each color in each bouquet. She also wants to use all of her balloons. The goal is to find out how many balloon bouquets she can make.
To find out the number of balloon bouquets Elli can make, we need to determine the number of balloons in each bouquet. Since she wants to have the same number of each color in each bouquet, we need to find the common number of balloons in each bouquet.
To determine the common number of balloons, we need to find the greatest common factor (GCF) of 84 and 96. The GCF represents the largest number that divides both 84 and 96 evenly.
The prime factorization of 84 is 2^2 * 3 * 7, and the prime factorization of 96 is 2^5 * 3.
To find the GCF, we take the highest power of each prime factor that appears in both numbers:
GCF = 2^2 * 3 = 4 * 3 = 12 balloons
Therefore, Elli can make balloon bouquets with 12 balloons each. To determine the number of bouquets, we divide the total number of balloons by the number of balloons per bouquet.
Total number of balloons = 84 blue balloons + 96 white balloons = 180 balloons
Number of bouquets = 180 balloons / 12 balloons per bouquet = 15 bouquets
Therefore, Elli can make 15 balloon bouquets using all of her 84 blue balloons and 96 white balloons.
I hope this explanation helps! If you have any more questions, feel free to ask.