Cathy made 110 muffins and cupcakes. After she gave 0.3 of the muffins and 0.6 of the cupcakes to her pupils, she was left with an equal number of muffins and cupcakes. How many muffins had she left?
|
Muffins |
Cupcakes |
Before
|
10x2 = 20 u |
5x7 = 35 u |
Change
|
- 3x2 = - 6 u |
- 3x7 = - 21 u |
After
|
7x2 = 14 u |
2x7 = 14 u |
Comparing muffins and cupcakes in the end |
1x14 = 14 u |
1x14 = 14 u |
0.3 =
310 0.6 =
610 =
35 The number of muffins and cupcakes is the same in the end. Make the number of muffins and cupcakes in the end the same. LCM of 7 and 2 and 1 is 14.
Total number of muffins and cupcakes at first
= 20 u + 35 u
= 55 u
55 u = 110
1 u = 110 ÷ 55 = 2
Number of muffins that Cathy had left
= 14 u
= 14 x 2
= 28
Answer(s): 28