Xuan baked 60 cookies.
35 of the cookies were vanilla cookies. The rest were mango cookies. She gave an equal number of vanilla cookies and mango cookies away and had 5 times as many vanilla cookies as mango cookies left. How many cookies did she give away?
| |
Vanilla cookies |
Mango 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 Xuan gave away an equal number of vanilla cookies and mango cookies, the difference in the number of vanilla cookies and mango cookies remains unchanged. Make the difference in the vanilla cookies and mango cookies the same. LCM of 1 and 4 is 4.
Total number of cookies at first
= 12 u + 8 u
= 20 u
20 u = 60
1 u = 60 ÷ 20 = 3
Number of cookies that Xuan gave away
= 7 u + 7 u
= 14 u
= 14 x 3
= 42
Answer(s): 42
