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Marco joined a bowling league and is trying to raise his average to 170. In his last four games, he scored 170, 169, 160, and 164. How much will he need to score on his next game to raise his mean to 170?

Answer :

Marco needs to score at least 187 on his next game to raise his average to 170.

To calculate the score Marco needs to achieve on his next game to raise his average to 170, we first need to find his current average based on the scores he has already obtained.

To calculate the average, we sum up all the scores and divide by the number of games played. In this case, Marco has played 4 games and scored 170, 169, 160, and 164.

Current average = (170 + 169 + 160 + 164) / 4

= 663 / 4

= 165.75

Now, we need to find the score Marco needs on his next game to raise his average to 170. Let's denote this score as x.

To calculate the new average, we add the score from the next game (x) to the sum of the previous scores and divide by the total number of games (5).

New average = (170 + 169 + 160 + 164 + x) / 5

We want the new average to be 170, so we can set up the following equation:

170 = (170 + 169 + 160 + 164 + x) / 5

To solve for x, we can multiply both sides of the equation by 5:

850 = 663 + x

Now, we can isolate x by subtracting 663 from both sides:

x = 850 - 663

x = 187

For more such questions on average visit:

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