Mr. and Mrs. Bills Dairy formed 45 pints of diluted milk solution by adding some packets of milk to every 7 packets of water. It is to be noted that both milk and water packets have equal capacity by volume. If the solution contained 21 pints of water, how many packets of milk were used to form the solution?

The total mixture is 45 pints, out of which 21 pints is water, meaning the amount of milk is 45 minus 21, or 24 pints. The problem states that milk and water are mixed in the proportion of some packets to 7 packets of water respectively. Let x be the number of milk packets; then 7 packets equal 21 pints, so 1 packet equals 3 pints. Therefore, the 24 pints of milk divided by 3 pints per packet equals 8 packets of milk.

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