There are 7 campers for every 2 counselors at summer camp. How many counselors are there if there are 84 campers?

24 counselors

Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's campers/counselors.

Next, we set up our proportion.

We know that at this summer camp, there are 7 campers for every 2 counselors so we have 7/2 and we're asked how many counselors are at the summer camp if there are 84 campers so that's 84/x.

Notice that the 84 campers must go on the top of the second ratio because our unit ratio tells us that we put campers over counselors.

Solving from here, we use the means-extremes property

to get (7)(x) or 7x equals (2)(84) or 168.

So we have 7x = 168.

Now dividing both sides of the equation by 7, we find that x = 24.

So, there are 24 counselors for 84 campers at the summer camp.

this is false ^.^ lol