Problema Solution

Kindly help me to solve the following:-

Ms Lee baked 24 more chocolate muffins than banana muffins. After she gave away 1/6 of the chocolate muffins and 3/8 of the banana muffins, she was left with 35 more chocolate muffins than banana muffins. How many chocolate muffins did she bake at first?

Thank you in advance.

Answer provided by our tutors

Ms Lee baked 24 more chocolate muffins than banana muffins. After she gave away 1/6 of the chocolate muffins and 3/8 of the banana muffins, she was left with 35 more chocolate muffins than banana muffins. How many chocolate muffins did she bake at first?

Solution:

Chocolate muffins: x

banana muffins: x-24

So the equation is

(1-1/6)x = (1 - 3/8)(x-24) + 35

We solve it

5/6 x = 5/8(x-24) + 35

x = 96

So she baked 96 chocolate muffins at first