Summer school quiz

Question

The sum of three consecutive integers is -96. What is the largest integer?

The sum of three consecutive integers is -204. What is the largest integer?

The sum of three consecutive integers is 183. What is the smallest integer?

A fish Take contains 1/2 as many goldfish as mollies, and there are 6 more copies then goldfish. If the total combined number of fish in the tank is 22, how many mollies are in the tank?

Answer 1

Hello Anelia C.,

I'll show you the first one. Then see if you can do the next two.

In each of the first 3 questions, you can use x, x + 1, and x + 2 for the 3 consecutive integers.

The word "sum" means to add them.

So x + x + 1 + x + 2 = —96

Then 3x + 3 = —96.

Subtract 3 from both sides so 3x = —99 and x = —33.

The 3 numbers are —33, —32, and —31. The answer is the largest (highest) one which is —31.

Now you should be able to do the 2nd and 3rd questions.

I will start you on the 4th one. Let x = number of mollies. Then (1/2)x = number of goldfish and

(1/2)x + 6 = the number of copies. See if you can write an equation and solve it.