Yoko made 200 cupcakes and macarons. After she gave 0.1 of the cupcakes and 0.4 of the macarons to her students, she was left with an equal number of cupcakes and macarons. How many cupcakes had she left?
|
Cupcakes |
Macarons |
Before
|
10x1 = 10 u |
5x3 = 15 u |
Change
|
- 1x1 = - 1 u |
- 2x3 = - 6 u |
After
|
9x1 = 9 u |
3x3 = 9 u |
Comparing cupcakes and macarons in the end |
1x9 = 9 u |
1x9 = 9 u |
0.1 =
110 0.4 =
410 =
25 The number of cupcakes and macarons is the same in the end. Make the number of cupcakes and macarons in the end the same. LCM of 9 and 3 and 1 is 9.
Total number of cupcakes and macarons at first
= 10 u + 15 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
Number of cupcakes that Yoko had left
= 9 u
= 9 x 8
= 72
Answer(s): 72