Make the denominator the same first.voltes5 wrote:Need help please...could not understand the answer sheet.

Patricia baked 120 more cupcakes than muffins. She sold 5/6 of the cupcakes and 1/5 of muffins. In the end she had 75 more muffins than cupcakes left. How many cupcakes and muffins did she bake at first?

5/6 sold would be 25/30 sold.

1/5 sold would be 6/30 sold

Move on to the model.

CUPCAKE [25u sold][5u left][120]

MUFFINS [6u sold][24u left]

120 x 5/6 = 100

120 x 1/6 = 20

MODEL ON WHAT'S LEFT

CUPCAKE [5u left][20]<----75---->

MUFFINS [----------24u left----------]

Let's equate.

5u + 20 = 24u - 75

24u-5u = 75+20

19u = 95

1u = 5

5 x 60u + 120 = 300+120

= 420

Answer: 420

Solved by DS