Yen baked 140 tarts.
35 of the tarts were mocha tarts. The rest were cherry tarts. She gave an equal number of mocha tarts and cherry tarts away and had 5 times as many mocha tarts as cherry tarts left. How many tarts did she give away?
| |
Mocha tarts |
Cherry 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 Yen gave away an equal number of mocha tarts and cherry tarts, the difference in the number of mocha tarts and cherry tarts remains unchanged. Make the difference in the mocha tarts and cherry tarts the same. LCM of 1 and 4 is 4.
Total number of tarts at first
= 12 u + 8 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of tarts that Yen gave away
= 7 u + 7 u
= 14 u
= 14 x 7
= 98
Answer(s): 98
