Each camper gets a 12 cups of juice made of 3 cups concentrate to 5 cups water. how much concentrate and how much water are needed to make juice for 240 campers.
To find out how much concentrate and water are needed to make juice for 240 campers, we need to first determine the ratio of concentrate to water for each cup of juice.
The ratio of concentrate to water is 3:5, which means that for every 3 cups of concentrate, 5 cups of water are needed to make the juice.
Since each camper gets 12 cups of juice, we need to multiply the ratio by 12 to find out how much concentrate and water are needed for each camper.
For each camper:
Concentrate: (3/8) * 12 = 9/2 = 4.5 cups
Water: (5/8) * 12 = 15/2 = 7.5 cups
Now that we know the amount of concentrate and water needed for one camper, we can multiply these amounts by the total number of campers (240) to find the total amount of concentrate and water needed.
Total concentrate: 4.5 * 240 = 1080 cups
Total water: 7.5 * 240 = 1800 cups
Therefore, for 240 campers, we would need 1080 cups of concentrate and 1800 cups of water to make juice.
To find out how much concentrate and water are needed to make juice for 240 campers, we need to determine the ratio of concentrate to water.
Given that each camper receives 12 cups of juice made of 3 cups concentrate to 5 cups water, we can calculate the ratio as follows:
3 cups concentrate : 5 cups water
To scale this ratio up to 240 campers, we can set up a proportion:
3 cups concentrate / 5 cups water = X cups concentrate / Y cups water
Cross-multiplying, we get:
3Y = 5X
To find the appropriate values for X and Y, we need to consider that the total number of cups of juice for 240 campers is equal to the number of campers multiplied by the number of cups each camper receives.
Total cups of juice = 240 campers * 12 cups per camper = 2880 cups
Now, let's solve for X and Y using the relationship 3Y = 5X:
3Y = 5X
3Y = 5(2880 - Y) (240 campers * 12 cups - cups water)
3Y = 14400 - 5Y
8Y = 14400
Y = 1800
Now that we've determined the value for Y, we can find X:
3Y = 5X
3(1800) = 5X
5400 = 5X
X = 1080
Therefore, to make juice for 240 campers, we need 1080 cups of concentrate and 1800 cups of water.