Yoko made 200 cupcakes and cookies. After she gave 0.9 of the cupcakes and 0.6 of the cookies to her students, she was left with an equal number of cupcakes and cookies. How many cupcakes had she left?
|
Cupcakes |
Cookies |
Before
|
10x2 = 20 u |
5x1 = 5 u |
Change
|
- 9x2 = - 18 u |
- 3x1 = - 3 u |
After
|
1x2 = 2 u |
2x1 = 2 u |
Comparing cupcakes and cookies in the end |
1x2 = 2 u |
1x2 = 2 u |
0.9 =
910 0.6 =
610 =
35 The number of cupcakes and cookies is the same in the end. Make the number of cupcakes and cookies in the end the same. LCM of 1 and 2 and 1 is 2.
Total number of cupcakes and cookies at first
= 20 u + 5 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
Number of cupcakes that Yoko had left
= 2 u
= 2 x 8
= 16
Answer(s): 16