Jane and Linda baked some muffins in the ratio of 3:5. After Jane baked another 42 muffins and Linda sold 1/6 of her muffins, they had the same number of muffins. Find the total number of muffins the two girls baked at first.

Let the number of muffins that Jane baked ==J

Let the number of muffins that Linda baked==L

J / L ==3 / 5

J + 42 ==5/6L, solve for J, L

J==108 muffins that Jane baked

L==180 muffins that Linda baked.

108 + 180 ==288 total muffins baked by both girls.