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
Q. 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
Calculate Percentage: Determine the percentage of non-purple candy pieces. Since 22% of the candy pieces are purple, the percentage of non-purple candy pieces is 100%−22%=78%.
Calculate Candy Pieces: Calculate the number of non-purple candy pieces in one box.There are 50 candy pieces in one box, so the number of non-purple candy pieces in one box is 78% of 50.Number of non-purple candy pieces in one box = 0.78×50=39 pieces.
Calculate Total: Calculate the total number of non-purple candy pieces in 36 boxes.Since there are 39 non-purple candy pieces in one box, in 36 boxes there would be 36×39 non-purple candy pieces.Total number of non-purple candy pieces in 36 boxes = 36×39=1404 pieces.
Choose Best Estimate: Choose the best estimate from the given choices.The exact calculation gives us 1404 pieces, so the best estimate from the given choices is 1,400.