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snow_tiger [21]
2 years ago
11

When a bakery opened this morning the ratio of pineapple muffins to the number of mango muffins was 3:2. After 144 pineapple muf

fins 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.
Mathematics
1 answer:
Elena L [17]2 years ago
6 0
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.

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