Hello,
I'm looking for guidance on how to solve these two problems below. I think they are proportion or ratio problems, but I am not sure.
1. If 6 pounds of meat feeds 3 people for 5 days, how much meat is required to feed 5 people for 7 days?
2. If a dress that is made out of 1.5 yards of fabric will shorten 2 inches because of the seam, how much would a dress made out of 1 yard of fabric shorten because of the seam?
I appreciate any help and direction on how to solve these and similar problems!
figure food at rate per person day.
amount of food=rate/person*persons*time
rate= 6/(3*5)
so amount of meat= (rate)people*time
= 6/15 * 5*7 = you do it.
2. ratio problem;
1.5yards/2inches=1yard/Xinches
xinches=1*2inches/1.5= 4/3 inch
6 lbs for 3 people for 5 days, then
2 lbs for 1 person for 5 days, or
2/5 lbs for 1 person for 1 day, or
2 lbs for 5 people for 1 day, or
14 lbs for 5 people for 7 days.
Hello! I can definitely help you solve these problems. Both of them involve proportions, so you are correct in your assumption.
Let's start with the first problem:
1. If 6 pounds of meat feeds 3 people for 5 days, how much meat is required to feed 5 people for 7 days?
To solve this problem, we can set up a proportion. A proportion is an equation that states that two ratios are equal.
Let's assign variables to the unknown values. Let M represent the amount of meat required.
We know that 6 pounds of meat feeds 3 people for 5 days. This can be written as the ratio 6 pounds / 3 people = M pounds / 5 days.
To find the value of M, we can cross-multiply and solve for M:
6 pounds * 5 days = 3 people * M pounds
30 = 3M
Divide both sides by 3:
30 / 3 = 3M / 3
10 = M
Therefore, 10 pounds of meat is required to feed 5 people for 7 days.
Now, let's move on to the second problem:
2. If a dress made from 1.5 yards of fabric shortens 2 inches because of the seam, how much would a dress made from 1 yard of fabric shorten because of the seam?
Again, we can set up a proportion to solve this problem.
Let's assign variables to the unknown values. Let S represent the amount the dress shortens.
We know that a dress made from 1.5 yards of fabric shortens 2 inches. This can be written as the ratio 1.5 yards / 2 inches = 1 yard / S inches.
To find the value of S, we can cross-multiply and solve for S:
1.5 yards * S inches = 1 yard * 2 inches
1.5S = 2
Divide both sides by 1.5:
1.5S / 1.5 = 2 / 1.5
S ≈ 1.33 inches
Therefore, a dress made from 1 yard of fabric would shorten approximately 1.33 inches because of the seam.
I hope this helps! Feel free to ask if you have any further questions or need additional explanation.