Winnie baked 88 macarons.
58 of the macarons were butter cream macarons. The rest were cherry macarons. She gave an equal number of butter cream macarons and cherry macarons away and had 2 times as many butter cream macarons as cherry macarons left. How many macarons did she give away?
|
Butter cream macarons |
Cherry macarons |
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 Winnie gave away an equal number of butter cream macarons and cherry macarons, the difference in the number of butter cream macarons and cherry macarons remains unchanged. Make the difference in the butter cream macarons and cherry macarons the same. LCM of 2 and 1 is 2.
Total number of macarons at first
= 5 u + 3 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
Number of macarons that Winnie gave away
= 1 u + 1 u
= 2 u
= 2 x 11
= 22
Answer(s): 22