Abi baked 96 tarts.
58 of the tarts were mocha tarts. The rest were butter cream tarts. She gave an equal number of mocha tarts and butter cream tarts away and had 5 times as many mocha tarts as butter cream tarts left. How many tarts did she give away?
| |
Mocha tarts |
Butter cream tarts |
Difference |
| Before |
5x2 =
10 u |
3x2 =
6 u |
2x2 =
4 u |
| Change |
- 5 u |
- 5 u |
|
| After |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
Since Abi gave away an equal number of mocha tarts and butter cream tarts, the difference in the number of mocha tarts and butter cream tarts remains unchanged. Make the difference in the mocha tarts and butter cream tarts the same. LCM of 2 and 4 is 4.
Total number of tarts at first
= 10 u + 6 u
= 16 u
16 u = 96
1 u = 96 ÷ 16 = 6
Number of tarts that Abi gave away
= 5 u + 5 u
= 10 u
= 10 x 6
= 60
Answer(s): 60
