Gabby made 440 cupcakes and shortbreads. After she gave 0.3 of the cupcakes and 0.6 of the shortbreads to her girls, she was left with an equal number of cupcakes and shortbreads. How many cupcakes had she left?
|
Cupcakes |
Shortbreads |
Before
|
10x2 = 20 u |
5x7 = 35 u |
Change
|
- 3x2 = - 6 u |
- 3x7 = - 21 u |
After
|
7x2 = 14 u |
2x7 = 14 u |
Comparing cupcakes and shortbreads in the end |
1x14 = 14 u |
1x14 = 14 u |
0.3 =
310 0.6 =
610 =
35 The number of cupcakes and shortbreads is the same in the end. Make the number of cupcakes and shortbreads in the end the same. LCM of 7 and 2 and 1 is 14.
Total number of cupcakes and shortbreads at first
= 20 u + 35 u
= 55 u
55 u = 440
1 u = 440 ÷ 55 = 8
Number of cupcakes that Gabby had left
= 14 u
= 14 x 8
= 112
Answer(s): 112