7. The following clues are given about a bucket of bubble gum.1. There are between 400 - 500 pieces of gum in the bucket.2. The bubble gum was purchased in 4 equally-sized bags.3. The product of all the digits is 56.How many pieces of bubble gum were in the buckets: Explain how you figured it out.

There were 472 pieces of bubble gum in the bucketStep-by-step explanation:The following clues are given about a bucket of bubble gum1. There are between 400 - 500 pieces of gum in the bucket2. The bubble gum was purchased in 4 equally-sized bags3. The product of all the digits is 56Let us explain how to solve the problem∵ The number of the pieces of gum is between 400 and 500∴ The number of pieces is 3-digit number and its hundred digit is 4∵ The product of all digits is 56∵ One of the digit is 4∵ 56 ÷ 4 = 14∴ The product of the ten digit and the one digit is 14∵ 14 = 2 × 7∴ The ten digit and the one digit are 2 and 7 or 7 and 2- If the ten digit is 2 and the one digit is 7∴ The number of pieces is 427∵ The bubble gum was purchased in 4 equally-sized bags- That means there were 4 pieces of bubble gum in each bag∴ The number of pieces must divisible by 4- The number is divisible by 4 if it is an even number and the number  formed from the ten digit and one digit is divisible by 4∵ 427 is an odd number∴ 427 not divisible by 4- If the ten digit is 7 and the one digit is 2∴ The number of pieces is 472∵ 472 is an even number∵ 72 divisible by 4∴ 472 is divisible by 4∴ There are 472 pieces of gum in the bucketThere were 472 pieces of bubble gum in the bucketLearn more:You can learn more about digits in brainly.com/question/547255#LearnwithBrainly