Easy Math

posted by Gina

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
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

First Name

Your Answer

Similar Questions

  1. Physics

    My question had 2 parts: a) A 2.0 kg object oscillates with simple harmonic motion on a spring of force constant 580.0 N/m. The maximum speed is 1.0 m/s. What is the total energy of the object and the spring?
  2. Math - Proportions

    This seems like an easy question but I can not seem to find the answer in my reading material. Can anyone possibly help?
  3. Science Grade 8

    I know that this seems like a REALLY EASY question, but for some reason I cannot think of anything! 2. What technologies have been developed that use light?
  4. algebra

    Video game company hires gamers to test a new adventure game. The number of levels completed by an average gamer is given by L = 60/(3+17e^-0.1t) where L is the number of levels completed after t hours of playing. a) How many levels …
  5. Science

    What is the average summer temperature in the desert biome?
  6. 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 could …
  7. Math Help

    I have to do this question in several ways like any possible way to do it so I've found one mathematical way, I can't do it like a physics question cause it's math. a bike travels at a constant speed of 10km/h. a bus starts 175 km …
  8. maths (bedmas)

  9. Art (1 question)

    Question #1: Ancient Native Americans chose willow strips to make baskets because they were easy to bend and a) easy to find b) rare and valuable c) multi-colored d) waterproof There's no textbook for the Art course so it's hard. According …
  10. math

    Suppose the daily high temperature in a town is 3 degrees above average one day, then 5 degrees below average the next day, then 2 degrees above average, then 1 degree below average, then 6 degrees above average, then equal to the …

More Similar Questions