Question

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

Answer 1

24 counslers.

Explanation:

We can simply break down the equation.

We can start by finding how many times 7 goes into 84. 84/7 is 12. Now their are 12 groups of 7 and their needs to be two at each. All we have to do is multiply 2 by twelve and you've got yourself an answer.

Have A great day! :)

Answer 2

Answer: 24 counselors

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.