Erika baked 120 cookies.
58 of the cookies were mocha cookies. The rest were strawberry cookies. She gave an equal number of mocha cookies and strawberry cookies away and had 4 times as many mocha cookies as strawberry cookies left. How many cookies did she give away?
|
Mocha cookies |
Strawberry 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 Erika gave away an equal number of mocha cookies and strawberry cookies, the difference in the number of mocha cookies and strawberry cookies remains unchanged. Make the difference in the mocha cookies and strawberry cookies the same. LCM of 2 and 3 is 6.
Total number of cookies at first
= 15 u + 9 u
= 24 u
24 u = 120
1 u = 120 ÷ 24 = 5
Number of cookies that Erika gave away
= 7 u + 7 u
= 14 u
= 14 x 5
= 70
Answer(s): 70