Xandra baked 40 tarts.
35 of the tarts were butter cream tarts. The rest were mocha tarts. She gave an equal number of butter cream tarts and mocha tarts away and had 3 times as many butter cream tarts as mocha tarts left. How many tarts did she give away?
| |
Butter cream tarts |
Mocha tarts |
Difference |
| Before |
3x2 =
6 u |
2x2 =
4 u |
1x2 =
2 u |
| Change |
- 3 u |
- 3 u |
|
| After |
3x1 =
3 u |
1x1 =
1 u |
2x1 =
2 u |
Since Xandra gave away an equal number of butter cream tarts and mocha tarts, the difference in the number of butter cream tarts and mocha tarts remains unchanged. Make the difference in the butter cream tarts and mocha tarts the same. LCM of 1 and 2 is 2.
Total number of tarts at first
= 6 u + 4 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
Number of tarts that Xandra gave away
= 3 u + 3 u
= 6 u
= 6 x 4
= 24
Answer(s): 24
