Lucy made 780 tarts and cupcakes. After she gave 0.1 of the tarts and 0.6 of the cupcakes to her girls, she was left with an equal number of tarts and cupcakes. How many tarts had she left?
|
Tarts |
Cupcakes |
Before
|
10x2 = 20 u |
5x9 = 45 u |
Change
|
- 1x2 = - 2 u |
- 3x9 = - 27 u |
After
|
9x2 = 18 u |
2x9 = 18 u |
Comparing tarts and cupcakes in the end |
1x18 = 18 u |
1x18 = 18 u |
0.1 =
110 0.6 =
610 =
35 The number of tarts and cupcakes is the same in the end. Make the number of tarts and cupcakes in the end the same. LCM of 9 and 2 and 1 is 18.
Total number of tarts and cupcakes at first
= 20 u + 45 u
= 65 u
65 u = 780
1 u = 780 ÷ 65 = 12
Number of tarts that Lucy had left
= 18 u
= 18 x 12
= 216
Answer(s): 216