Anyone??

Camp Pineveiw's cook, Margaret Johnson, was just about to begin preparing the picnic lunch for all the campers. She already knew she needed to fill 55 bowls of the same size and capacity with the same amount of food. When she was done, she decided to read the guidelines for the picnic, just out of curiosity. The guidelines said:

1. Every camper gets their own bowl of soup.
2. Every two campers will get one bowl of spaghetti to share.
3. Every three campers will get one bowl of salad to share.
4. All campers are required to have their own helping of salad, spaghetti, and soup.

Question

Anyone??

Camp Pineveiw's cook, Margaret Johnson, was just about to begin preparing the picnic lunch for all the campers. She already knew she needed to fill 55 bowls of the same size and capacity with the same amount of food. When she was done, she decided to read the guidelines for the picnic, just out of curiosity. The guidelines said:

1. Every camper gets their own bowl of soup.
2. Every two campers will get one bowl of spaghetti to share.
3. Every three campers will get one bowl of salad to share.
4. All campers are required to have their own helping of salad, spaghetti, and soup.

anonymous · Answer

After some rapid calculations, Margaret was able to figure out how many campers were going to the picnic. 

Can you?

anonymous · Answer

@prowrestler 
@UnkleRhaukus

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@ybarrap

jim_thompson5910 · Answer

This looks like a trial and error problem. We know that because "Every two campers will get one bowl of spaghetti to share" and because "Every three campers will get one bowl of salad to share." we can say that the number of campers is a multiple of 2*3 = 6

jim_thompson5910 · Answer

So if there were 12 campers, then you'd have 

12 bowls of soup
12/2 = 6 bowls of spaghetti
12/3 = 4 bowls of salad

making 12+6+4 = 22 bowls total

so that's too small

jim_thompson5910 · Answer

If there were 18 campers, then you'd have 

18 bowls of soup
18/2 = 9 bowls of spaghetti
18/3 = 6 bowls of salad

making 18+9+6 = 33 bowls total

still too small

jim_thompson5910 · Answer

see how I'm doing this?

jim_thompson5910 · Answer

actually, there's a much quicker way that I just thought about

if x = # of campers, then

x = # of bowls of soup
x/2 = # of bowls of spaghetti
x/3 = # of bowls of salad

anonymous · Answer

Try. you're on the right track..
Want a hint?

jim_thompson5910 · Answer

Add them up and that total should be 55

x + x/2 + x/3 = 55

6x/6 + 3x/6 + 2x/6 = 55

I'll let you finish

anonymous · Answer

If there were only six campers, there would be six bowls of soup, three bowls of spaghetti, and two bowls of salad.

jim_thompson5910 · Answer

I know. There are more than 6 campers.

jim_thompson5910 · Answer

Solve that equation and you'll get the answer