Mrs Collins and Mrs Franklin were supposed to bake 280 cupcakes for a party altogether. In the end, Mrs Collins and Mrs Franklin baked 328 cupcakes instead. If Mrs Collins baked 1/5 more cupcakes than what she should and Mrs Franklin baked 3/20 more cupcakes than she should, how many cupcakes were each of them supposed to bake at first?
Let C be the number that Mrs Collins was supposed to bake and
let F be the number that Mrs Franklin was supposed to bake.
F+C = 280 (1)
(1 + 1/5)C + (1 + 3/20)F = 328 (2)
now simplify and solve them simultaneously.