Question

When a bakery opened this morning the ratio of pineapple muffins to the number of mango muffins was 3:2. After 144 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3:5. How many pineapple muffins were there when the bakery opened in the morning?
Answer is 240, but we need ot know how to get to the answer.

Answer 1

$3x-\ pineapple\\ 2x-\ mango\\\\ after\ selling\ 144\ pineapple:\\ 3y-\ pineapple\\ 5y-\ mango\\\\ 3x-144=3y\ \ | add\ 144\\ 2x=5y\\\\ 3x=3y+144\ \ \ | divide\ by\ 3\\ 2x=5y\\\\ x=y+48\\2x=5y\\\\ 2(y+48)=5y\\ 2y+96=5y\ \ \ | subtract\ 2y\\ 96=3y\ \ \ | divide\ by\ 3\\ 32=y\\ x=32+48=80\\\\ There\ were\ 240\ pineapple\ muffins.$