Winnie baked 168 macarons.
58 of the macarons were strawberry macarons. The rest were vanilla macarons. She gave an equal number of strawberry macarons and vanilla macarons away and had 4 times as many strawberry macarons as vanilla macarons left. How many macarons did she give away?
|
Strawberry macarons |
Vanilla macarons |
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 Winnie gave away an equal number of strawberry macarons and vanilla macarons, the difference in the number of strawberry macarons and vanilla macarons remains unchanged. Make the difference in the strawberry macarons and vanilla macarons the same. LCM of 2 and 3 is 6.
Total number of macarons at first
= 15 u + 9 u
= 24 u
24 u = 168
1 u = 168 ÷ 24 = 7
Number of macarons that Winnie gave away
= 7 u + 7 u
= 14 u
= 14 x 7
= 98
Answer(s): 98