Molly scored 150 and 175 points on her first two rounds of Candy Crush. Write and solve a compound inequality to find the possible values for a third game that would give her an average between 160 and 170.

Answer 1

Let's call the score of the third game x. To find the average between 160 and 170, we can set up the following compound inequality:

160 ≤ (150 + 175 + x)/3 ≤ 170

First, let's simplify the middle expression:

325 + x ≤ 510

Now, solve for x:

x ≤ 510 - 325

x ≤ 185

So, Molly would need to score a third game with a value of x less than or equal to 185 to have an average between 160 and 170.