Easy Math
This seems like an easy question yet I am not able to comprhend.
Question: Inher latest game, Mary bowled 199 and raised her average to 179 from 178. To raise her average to 180 with the next game, what must she bowl?
Her average was 178. The average is the sum of the scores divided by the games played, so 178 = scores/#games, or #games*178=scores. Now add the new score to get
(#games+1)*179=scores + 199
If you substitute the previous score=#games*178 into the second equation to get
(#games+1)*179=#games*178 + 199 or
#games=20
So you now know the original number of games bowled to get 178 for the average was 20 and the scores added to 20*178=3560
She then bowled 199 in the 21st game so (3560+199)/21 = 179
So now she wants to bowl 22 games and get an average of 180, so the score need to add to 22*180=3960
So subtract the scores from the 21 games rolled to see what she needs to roll on the 22nd game to raise the average 1 point.
There's probably a simple proportion way to solve this too, but the way I solved it verifes everyting you can know about the scores.
Respond to this Question
Similar Questions

math
Paul bowled 6 games today. His scores are shown below. Game 1: 158 Game 2: 124 Game 3: 110 Game 4: 167 Game 5: 146 Game 6: 165 a. What was Paul's median score for the 6 games? Answer: 152 b. What was Paul's mean score for the 6 
Math(Connexus 6th)Unit 7
Saturday, Nola bowled 3 games in her bowling league. She had a mean score of 115. The score of her first game was 110. The score of her second game was 90. What was the score of her third game? 
Algebra(weighted average)
Help pleaasee!!!..my answer to this problem was 42.5..just need to know if im correct The girl's basketball team has played quite well this year. Their statistics for various shots are given below: They made 30% of their 3point 
Math
Steven goes to a game store. He purchases a new game system for $120. He purchased the game console for $82 and 2 used video games that were equally priced. How much did each of the video game cost? Show all of your work. Please 
Algebra
A baseball player's batting average is the number of hits the player has divided by the number of atbats. At the beginning of a game, a player has a batting average of .360. During the game, the player gets 3 hits during 5 
Algebra
Tom bowled 135 and 145 in his two first games. Write and Solve a compound inequality to find the possible values for a third game that would give him an average between 120 and 130, inclusive. 
Statistics
Here's another tricky probability question. A soccer player scores an average of 3 goals per game: a) What is the probability that he or she will score 4 goals in a given game? 
Math
You play a game where you win $1.00 for each dot that turns up on a fair die (has 6 sides). You pay $3.50 to play the game (and the money is not returned). Find the expected (average) winnings for this game. 
Math
You play a game where you win $1.00 for each dot that turns up on a fair die (has 6 sides). You pay $3.50 to play the game (and the money is not returned). Find the expected (average) winnings for this game. 
Chemistry
8. Imagine you have two containers of gas, one labeled gas A and one labeled gas B. Gas A has an average speed of 700 m/s and gas B has an average speed of 1100 m/s. Both containers are being held at the same temperature. How