Fiona baked 216 cookies.
58 of the cookies were peach cookies. The rest were mocha cookies. She gave an equal number of peach cookies and mocha cookies away and had 4 times as many peach cookies as mocha cookies left. How many cookies did she give away?
| |
Peach cookies |
Mocha cookies |
Difference |
| Before |
5x3 =
15 u |
3x3 =
9 u |
2x3 =
6 u |
| Change |
- 7 u |
- 7 u |
|
| After |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
Since Fiona gave away an equal number of peach cookies and mocha cookies, the difference in the number of peach cookies and mocha cookies remains unchanged. Make the difference in the peach cookies and mocha cookies the same. LCM of 2 and 3 is 6.
Total number of cookies at first
= 15 u + 9 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Number of cookies that Fiona gave away
= 7 u + 7 u
= 14 u
= 14 x 9
= 126
Answer(s): 126
