Pamela baked 220 tarts.
35 of the tarts were vanilla tarts. The rest were mango tarts. She gave an equal number of vanilla tarts and mango tarts away and had 5 times as many vanilla tarts as mango tarts left. How many tarts did she give away?
|
Vanilla tarts |
Mango tarts |
Difference |
Before |
3x4 = 12 u |
2x4 = 8 u |
1x4 = 4 u |
Change |
- 7 u |
- 7 u |
|
After |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Since Pamela gave away an equal number of vanilla tarts and mango tarts, the difference in the number of vanilla tarts and mango tarts remains unchanged. Make the difference in the vanilla tarts and mango tarts the same. LCM of 1 and 4 is 4.
Total number of tarts at first
= 12 u + 8 u
= 20 u
20 u = 220
1 u = 220 ÷ 20 = 11
Number of tarts that Pamela gave away
= 7 u + 7 u
= 14 u
= 14 x 11
= 154
Answer(s): 154