Question
A chef prepared 6 different dishes, and the average
rating for those dishes was 18 out of 100. For the next 4 dishes, the chef improved significantly, and the average rating increased by 50%. To achieve an overall average rating of 30 out of 100 after serving a total of 20 dishes, what should be the average rating for the remaining dishes?Solution
ATQ, The total number of ratings to achieve in 20 dishes is 20 ratings with a goal of 30 each, which sums up to 600. For the first 6 dishes, the chef received a total rating of 6 dishes × 18 rating per dish = 108. In the subsequent 4 dishes, the chef's performance improved by 50%, resulting in a rating of 18 × 1.5 × 4 = 108. To meet the target of 600 total ratings for all 20 dishes, the remaining 10 dishes should collectively earn 600 - (108 + 108) = 384. So, the required average rating for the remaining 10 dishes would be 384 divided by 10, which is 38.4.
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