Question

Maddie is participating in the first round a math competition. She writes one contest a month in each of the first ten months of the school year. She can earn up to 100 points on each contest. On each of the first five contests she averaged 68 points. On the next three contest she averaged 80 points. In order to advance to the next round of the competition, she must obtain a minimum total of 750 points on the ten contests.
What is the minimum average Maddie requires on the final two contests in order to be able to advance to the next round of competition?

Answer 1

The correct answer is 85 points in each contest

Explanation:

To solve this problem, the first step is to find out how many points Maddie has and then how many points she still needs to get a total of 750 points. Additionally, to do this, the correct process is to multiply the average points by the number of contexts.

In the first five contests, she obtained 68 points average

5 x 68 = 340 points in the first five contests

In the three following contests, she obtained 80 points on average

3 x 80 = 240 points

Now, let's add the points and find how many points she is missing to reach 750 points

340 + 240 = 580

750 - 580 = 170

Finally, let's divide the points missing by 2 because there are still two contests and Madie needs to get the 170 points in these two.

170 ÷ 2 = 85 points

Maddie needs to get 85 points on average to complete her goal of 750 points