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A box of fruit candy contains 50 candy pieces in five different colors: red, orange, yellow, green, and purple. Willy opened the box and found that 22% of the candy pieces are purple. If the box Willy opened is representative of that particular brand of fruit candy, which of the following best estimates the total number of non-purple candy pieces in 36 boxes of the same candy? Choose 1 answer: (A) 400 (B) 1,100 (C) 1,400 (D) 1,800

A box of fruit candy contains 5050 candy pieces in five different colors: red, orange, yellow, green, and purple. Willy opened the box and found that 22%22\% of the candy pieces are purple. If the box Willy opened is representative of that particular brand of fruit candy, which of the following best estimates the total number of non-purple candy pieces in 3636 boxes of the same candy?\newlineChoose 11 answer:\newline(A) 400400\newline(B) 1,1001,100\newline(C) 1,4001,400\newline(D) 1,8001,800

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Q. A box of fruit candy contains 5050 candy pieces in five different colors: red, orange, yellow, green, and purple. Willy opened the box and found that 22%22\% of the candy pieces are purple. If the box Willy opened is representative of that particular brand of fruit candy, which of the following best estimates the total number of non-purple candy pieces in 3636 boxes of the same candy?\newlineChoose 11 answer:\newline(A) 400400\newline(B) 1,1001,100\newline(C) 1,4001,400\newline(D) 1,8001,800
  1. Calculate Percentage: Determine the percentage of non-purple candy pieces. Since 22%22\% of the candy pieces are purple, the percentage of non-purple candy pieces is 100%−22%=78%100\% - 22\% = 78\%.
  2. Find Non-Purple Candy: Calculate the number of non-purple candy pieces in one box.\newlineThere are 5050 candy pieces in one box, so the number of non-purple candy pieces in one box is 78%78\% of 5050.\newlineNumber of non-purple candy pieces in one box = 0.78×50=390.78 \times 50 = 39.
  3. Calculate Total: Calculate the total number of non-purple candy pieces in 3636 boxes.\newlineSince there are 3939 non-purple candy pieces in one box, in 3636 boxes there would be 36×3936 \times 39 non-purple candy pieces.\newlineTotal number of non-purple candy pieces in 3636 boxes = 36×3936 \times 39.
  4. Perform Multiplication: Perform the multiplication to find the total number of non-purple candy pieces.\newlineTotal number of non-purple candy pieces in 3636 boxes = 36×39=140436 \times 39 = 1404.

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