Lynn made 165 cupcakes and tarts. After she gave 0.3 of the cupcakes and 0.6 of the tarts to her children, she was left with an equal number of cupcakes and tarts. How many cupcakes had she left?
|
Cupcakes |
Tarts |
Before
|
10x2 = 20 u |
5x7 = 35 u |
Change
|
- 3x2 = - 6 u |
- 3x7 = - 21 u |
After
|
7x2 = 14 u |
2x7 = 14 u |
Comparing cupcakes and tarts in the end |
1x14 = 14 u |
1x14 = 14 u |
0.3 =
310 0.6 =
610 =
35 The number of cupcakes and tarts is the same in the end. Make the number of cupcakes and tarts in the end the same. LCM of 7 and 2 and 1 is 14.
Total number of cupcakes and tarts at first
= 20 u + 35 u
= 55 u
55 u = 165
1 u = 165 ÷ 55 = 3
Number of cupcakes that Lynn had left
= 14 u
= 14 x 3
= 42
Answer(s): 42