Answer
Find out the what fraction of the sandcastle did they build together .
To prove
Let us assume that the fraction of the sandcastle they build together be x .
As given


Than the equation becomes

L.C .M of (3,7) = 21
solving


Therefore the fraction of the sandcastle did they build together be

Hence proved
Since AB and BC are two parts of AC, AC = AB + BC
let's plug the expressions from the question into our equation above.
19 = 3x + 1 + 2x - 7
Combine like terms
19 = 5x - 6
Add 6 to both sides.
25 = 5x
Divide both sides by 5
5 = x
Dana can fill 12 planters. Let me know if you want an explanation!
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