Fanny baked 200 cookies.
35 of the cookies were mango cookies. The rest were chocolate cookies. She gave an equal number of mango cookies and chocolate cookies away and had 5 times as many mango cookies as chocolate cookies left. How many cookies did she give away?
|
Mango cookies |
Chocolate cookies |
Difference |
Before |
3x4 = 12 u |
2x4 = 8 u |
1x4 = 4 u |
Change |
- 7 u |
- 7 u |
|
After |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Since Fanny gave away an equal number of mango cookies and chocolate cookies, the difference in the number of mango cookies and chocolate cookies remains unchanged. Make the difference in the mango cookies and chocolate cookies the same. LCM of 1 and 4 is 4.
Total number of cookies at first
= 12 u + 8 u
= 20 u
20 u = 200
1 u = 200 ÷ 20 = 10
Number of cookies that Fanny gave away
= 7 u + 7 u
= 14 u
= 14 x 10
= 140
Answer(s): 140