Betty baked 140 tarts.
35 of the tarts were chocolate tarts. The rest were strawberry tarts. She gave an equal number of chocolate tarts and strawberry tarts away and had 5 times as many chocolate tarts as strawberry tarts left. How many tarts did she give away?
|
Chocolate tarts |
Strawberry 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 Betty gave away an equal number of chocolate tarts and strawberry tarts, the difference in the number of chocolate tarts and strawberry tarts remains unchanged. Make the difference in the chocolate tarts and strawberry 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 Betty gave away
= 7 u + 7 u
= 14 u
= 14 x 7
= 98
Answer(s): 98