Tammy baked 192 tarts.
58 of the tarts were mocha tarts. The rest were chocolate tarts. She gave an equal number of mocha tarts and chocolate tarts away and had 5 times as many mocha tarts as chocolate tarts left. How many tarts did she give away?
| |
Mocha tarts |
Chocolate 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 Tammy gave away an equal number of mocha tarts and chocolate tarts, the difference in the number of mocha tarts and chocolate tarts remains unchanged. Make the difference in the mocha tarts and chocolate tarts the same. LCM of 2 and 4 is 4.
Total number of tarts at first
= 10 u + 6 u
= 16 u
16 u = 192
1 u = 192 ÷ 16 = 12
Number of tarts that Tammy gave away
= 5 u + 5 u
= 10 u
= 10 x 12
= 120
Answer(s): 120
