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Question

please help..

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?

 

Answer

post-17073

With supporting pictures.

0 Replies 1 Like ✔Accepted Answer

I would solve the above problem as follows :

Cupcakes ——- 6u – 5u = 1u
Muffins —— 5p – 1p = 4p
6u – 5p ——- 120
4p – 1u ——- 75
1u ——- 4p – 75
6(4p – 75) – 5p ——- 120
19p —— 570
1p ——- 570/19 = 30
5p ——- 5 x 30 = 150 (muffins)
1u ——- 4 x 30 – 75 = 45
6u ——- 6 x 45 = 270 (cupcakes)
270 + 150 = 420 (cupcakes and muffins)

Ans : 420 cupcakes and muffins.

0 Replies 1 Like