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Question

There are $486$ sacks of cement, which need to be transported to a contraction site from a warehouse. There are $9$ trucks available for the transportation facility. Is it possible to evenly distribute the load? Answer in Yes/ No.

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Solution

To distribute the load of 486 sacks of cement in 9 trucks evenly. 486 must be completely divisible by 9.

For the number $486$ to be divisible by $9,$ the sum of digits must be divisible by $9.$

$4 + 8 + 6 = 18$
$18$ is divisible by $9.$

$∴$ It is possible to distribute $486$ sacks into $9$ trucks evenly.

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