Dana baked 144 muffins.
58 of the muffins were vanilla muffins. The rest were mango muffins. She gave an equal number of vanilla muffins and mango muffins away and had 5 times as many vanilla muffins as mango muffins left. How many muffins did she give away?
|
Vanilla muffins |
Mango muffins |
Difference |
Before |
5x2 = 10 u |
3x2 = 6 u |
2x2 = 4 u |
Change |
- 5 u |
- 5 u |
|
After |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Since Dana gave away an equal number of vanilla muffins and mango muffins, the difference in the number of vanilla muffins and mango muffins remains unchanged. Make the difference in the vanilla muffins and mango muffins the same. LCM of 2 and 4 is 4.
Total number of muffins at first
= 10 u + 6 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of muffins that Dana gave away
= 5 u + 5 u
= 10 u
= 10 x 9
= 90
Answer(s): 90