Raeann baked 72 cookies.
58 of the cookies were mocha cookies. The rest were peach cookies. She gave an equal number of mocha cookies and peach cookies away and had 2 times as many mocha cookies as peach cookies left. How many cookies did she give away?
| |
Mocha cookies |
Peach cookies |
Difference |
| Before |
5x1 =
5 u |
3x1 =
3 u |
2x1 =
2 u |
| Change |
- 1 u |
- 1 u |
|
| After |
2x2 =
4 u |
1x2 =
2 u |
1x2 =
2 u |
Since Raeann gave away an equal number of mocha cookies and peach cookies, the difference in the number of mocha cookies and peach cookies remains unchanged. Make the difference in the mocha cookies and peach cookies the same. LCM of 2 and 1 is 2.
Total number of cookies at first
= 5 u + 3 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Number of cookies that Raeann gave away
= 1 u + 1 u
= 2 u
= 2 x 9
= 18
Answer(s): 18
