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?

Question

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?

PsyDAG · Accepted Answer

C = 280 - F 1.2C + 1.15F = 1.2(280-F) + 1.15F = 328 Solve for F, then C.