Let J be the number of seashells Joyce has and E be the number of seashells Eunice has.
If Joyce gives 36 seashells to Eunice, both of them will have the same number of seashells, meaning J - 36 = E + 36.
If Eunice gives 12 seashells to Joyce, the number of seashells that Joyce has to the number of seashells Eunice has will be in the ration 5:1, meaning (J + 12)/(E - 12) = 5/1.
We know that J - 36 = E + 36, so let's substitute J with E + 72: (E + 72 + 12)/(E - 12) = 5/1
(E + 84)/(E - 12) = 5/1
5(E-12) = E + 84
5E - 60 = E + 84
4E = 144
E = <<36=36>>36
Eunice has 36 seashells
Since J - 36 = E + 36, J = E + 36 + 36 = 36 + 36 = <<36+36=72>>72
Joyce has 72 seashells. Answer: \boxed{36, 72}.
Joyce and Eunice each have some seashells. If Joyce gives 36 seashells to Eunice, both of them will have the same number of seashells. I Eunice gives 12 seashells to Joyce, the number of seashells that Joyce has to the number of seashells Eunice has will be in the ration of 5:1. How many seashells does each girl have?
1 answer