The scores of a cricket team in five matches are given as 165, 210, 185, 240, and 175 . If the team needs a co

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The scores of a cricket team in five matches are given as 165, 210, 185, 240, and 175 . If the team needs a combined average score of 200 runs across six matches to qualify, how many runs must it score in the sixth match?

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Step-by-step solution: 1. **Find total runs required for all 6 matches:** Required Total Runs = Required Average × Total Matches Required Total Runs = 200 × 6 = 1200 runs 2. **Calculate the sum of runs scored in the first 5 matches:** Sum of 5 matches = 165 + 210 + 185 + 240 + 175 = 975 runs 3. **Calculate the runs needed in the } 6^{	ext{th}}	ext{ match:** Runs in 6^th match = Required Total Runs - Sum of 5 matches Runs in 6^th match = 1200 - 975 = 225 runs

The scores of a cricket team in five matches are given as $165, 210, 185, 240,$ and $175$ . If the team needs a combined average score of $200 runs$ across six matches to qualify, how many runs must it score in the sixth match?

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The scores of a cricket team in five matches are given as 165,210,185,240, and 175. If the team needs a combined average score of 200 runs across six matches to qualify, how many runs must it score in the sixth match?