Natalie baked 180 tarts.
35 of the tarts were chocolate tarts. The rest were matcha tarts. She gave an equal number of chocolate tarts and matcha tarts away and had 5 times as many chocolate tarts as matcha tarts left. How many tarts did she give away?
|
Chocolate tarts |
Matcha 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 Natalie gave away an equal number of chocolate tarts and matcha tarts, the difference in the number of chocolate tarts and matcha tarts remains unchanged. Make the difference in the chocolate tarts and matcha tarts the same. LCM of 1 and 4 is 4.
Total number of tarts at first
= 12 u + 8 u
= 20 u
20 u = 180
1 u = 180 ÷ 20 = 9
Number of tarts that Natalie gave away
= 7 u + 7 u
= 14 u
= 14 x 9
= 126
Answer(s): 126