Each camper gets a 1/2 cup of juice. For each mux how much concentrate and how much water are needed to make juice for 240 campers.
Mix A
2 cups concentrate
3 cups water
Mix B
5 cups concentrate
9 cups water
Mix C
1 cup concentrate
2 cups water
Mix D
3 cups concentrate
5 cups water
1/2 of 240 = 120 cups
A. 120 / 5 = 24
24 * 2 = 48 cups concentrate
24 * 3 = 72 cups water
I'm sure you can use that example to figure the other problems out.
Please post your answers and we'll be glad to check them.
B=70 cups concentarte:126 cups water
C=40 cups concentarte:80 cups water
D=90 cups concentrate:150 cups water
B = 70 + 126 = 196 cups -- OOps -- too much
C = Correct
D = 240 cups -- Oops -- you've just made twice as much as you need.
B= I can not seem to figure this particular question correctly, when I get an answer it doent add up or doenst make sense.
D=45 cups concentrate: 75 cups water
I can figure out the others but dont understand how to do B?
A: 48 concentrate and 72 water
C: 40 concentrate and 80 water
D: 45 concentrate and 75 water
Well, since each camper gets 1/2 cup of juice, we can start by calculating the total amount of juice needed for 240 campers. 240 campers multiplied by 1/2 cup each equals 120 cups of juice in total.
Now, let's figure out how much concentrate and water are needed for each mix:
Mix A:
For every 2 cups of concentrate, we need 3 cups of water. So, if we want to make 120 cups of juice, we would need (2/2) * 120 = 60 cups of concentrate and (3/2) * 120 = 180 cups of water.
Mix B:
For every 5 cups of concentrate, we need 9 cups of water. So, for 120 cups of juice, we would require (5/2) * 120 = 300 cups of concentrate and (9/2) * 120 = 540 cups of water. (That's quite a lot!)
Mix C:
For every 1 cup of concentrate, we need 2 cups of water. Therefore, for 120 cups of juice, we would need (1/2) * 120 = 60 cups of concentrate and (2/2) * 120 = 120 cups of water.
Mix D:
For every 3 cups of concentrate, we need 5 cups of water. So, for 120 cups of juice, we would need (3/2) * 120 = 180 cups of concentrate and (5/2) * 120 = 300 cups of water.
I hope these calculations have quenched your thirst for knowledge!
To determine the amount of concentrate and water needed to make juice for 240 campers for each mix, we can first calculate the ratio of concentrate to water for each mix. Then, we can scale up the amounts of concentrate and water based on this ratio.
First, let's calculate the ratio of concentrate to water for each mix. To do this, we divide the amount of concentrate by the amount of water.
For Mix A:
Concentrate to water ratio = 2 cups concentrate / 3 cups water = 2/3
For Mix B:
Concentrate to water ratio = 5 cups concentrate / 9 cups water ≈ 0.5556
For Mix C:
Concentrate to water ratio = 1 cup concentrate / 2 cups water = 1/2
For Mix D:
Concentrate to water ratio = 3 cups concentrate / 5 cups water = 3/5
Next, we need to scale up the amounts of concentrate and water for each mix to make juice for 240 campers. Since each camper gets a 1/2 cup of juice, we will multiply the ratio of concentrate to water by 1/2 cup and then multiply it by 240.
For Mix A:
Concentrate needed = (2/3) * (1/2) * 240 = 160 cups
Water needed = (3/3) * (1/2) * 240 = 120 cups
For Mix B:
Concentrate needed = (0.5556) * (1/2) * 240 = 66.67 cups (rounded to 2 decimal places)
Water needed = (9/3) * (1/2) * 240 = 360 cups
For Mix C:
Concentrate needed = (1/2) * (1/2) * 240 = 60 cups
Water needed = (2/3) * (1/2) * 240 = 80 cups
For Mix D:
Concentrate needed = (3/5) * (1/2) * 240 = 72 cups
Water needed = (5/5) * (1/2) * 240 = 120 cups
So, the amounts of concentrate and water needed for each mix to make juice for 240 campers are as follows:
Mix A:
Concentrate: 160 cups
Water: 120 cups
Mix B:
Concentrate: 66.67 cups (rounded)
Water: 360 cups
Mix C:
Concentrate: 60 cups
Water: 80 cups
Mix D:
Concentrate: 72 cups
Water: 120 cups