Dana baked a total of 382 cookies and muffins. After giving away 80% of the muffins and 90% of the cookies, she was left with twice as many muffins as cookies. Find the number of cookies Dana gave away.
|
Muffins |
Cookies |
Before |
5x2 = 10 u
|
10 u |
Change |
- 4x2 = 8 u |
- 9 u |
After |
1x2 = 2 u |
1 u |
Comparing muffins and cookies in the end |
2x1 = 2 u |
1x1 = 1 u |
80% =
80100 =
4590% =
90100 =
910The number of muffins in the end is the repeated identity. Make the number of muffins in the end the same. LCM of 1 and 2 is 2.
Total number of pastries at first
= 10 u + 10 u
= 20 u
20 u = 382
1 u = 382 ÷ 20 = 10
Number of cookies that Dana gave away
= 9 u
= 9 x 10
= 90
Answer(s): 90