There were 472 pieces of bubble gum in the bucket
Step-by-step explanation:
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
Let 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 bucket
There were 472 pieces of bubble gum in the bucket
Learn more:
You can learn more about digits in brainly.com/question/547255
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