amys bowling score in her 3rd game was 10 less that her score in her first game and 5 more than her second game. The total points of all 3 games were 275. What is the highest number of points she could have scored in her first game?
Let s be the score of the 3rd game
s+10 was 1st game
s-5 was 2nd game
s+10 + s-5 + s = 275
3s + 5 = 275
3s = 270
s = 90
n
So, the 3 games were 100 85 90
Don't know why the "highest number" question was asked. The answer is exact.
If they had said "at least 275" or "at most 275" then there would have been an inequality.
To solve this problem, let's assume that the score for Amy's first game is "x".
We are given that her score in the third game was 10 less than her score in the first game. So, her score in the third game can be represented as (x - 10).
We are also given that her score in the third game was 5 more than her score in the second game. So, her score in the second game can be represented as (x - 10 - 5), which is equal to (x - 15).
The total points for all 3 games is 275. Therefore, the equation is: x + (x - 15) + (x - 10) = 275.
Simplifying the equation, we get 3x - 25 = 275.
Adding 25 to both sides of the equation, we get 3x = 300.
Dividing both sides of the equation by 3, we get x = 100.
Therefore, the highest number of points Amy could have scored in her first game is 100.