To get on the top players’ list, Don needs to have a minimum average score of 225 after playing four games. His scores on his first three games were 192, 214, and 250. What is the minimum score Don needs to earn on his fourth game? Enter your answer in the box.

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Remark

The scores of the 4 games are  192 + 214 + 250 + x

When you divide these scores by 4 you need to get 225.

Equation

[tex]\dfrac{192 + 214+ 250+x}{4} = 225[/tex]

Solution

Add the 3 numbers together

(656 + x)/4 = 225     Multiply both sides by 4

656 + x = 225*4

656 + x = 900          Subtract 656 from both sides.

x = 900 - 656

x = 244                     His 4th game has to be 244 or higher.

Don needs to earn a minimum of 244 in the fourth game.

Average can be determined by dividing the sum of scores by 4

The sum of scores Don has to have in the four games = total number of games x minimum average scores

4 x 225 = 900

Don has to score a total of 900 in the four games

The sum of his scores in the first three games = 192 + 214 + 250 = 656

The minimum score Don has to have in the fourth games is the total minimum score less the sum of his scores in the first three games

900 - 656 = 244

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