Shiyun made 25 more apple muffins than durian muffins. After she gave away
47 of the apple muffins and
13 of the durian muffins, there were an equal number of apple muffins and durian muffins left. How many apple muffins did she give away?
|
Apple muffins |
Durian muffins |
Difference |
Before |
7x2 = 14 u |
3x3 = 9 u |
5 u |
Change |
- 4x2 = - 8 u |
- 1x3 = - 3 u |
|
After |
3x2 = 6 u |
2x3 = 6 u |
|
Fraction of apple muffins left
= 1 -
47 =
37Fraction of durian muffins left
= 1 -
13 =
23The number of apple muffins and durian muffins in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
37 of apple muffins =
23 of durian muffins
614 of apple muffins =
69 of durian muffins
Number of more apple muffins than durian muffins at first
= 14 u - 9 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Number of apple muffins that Shiyun gave away
= 14 u - 6 u
= 8 u
= 8 x 5
= 40
Answer(s): 40