Jane made 520 muffins and shortbreads. After she gave 0.1 of the muffins and 0.6 of the shortbreads to her pupils, she was left with an equal number of muffins and shortbreads. How many muffins had she left?
|
Muffins |
Shortbreads |
Before
|
10x2 = 20 u |
5x9 = 45 u |
Change
|
- 1x2 = - 2 u |
- 3x9 = - 27 u |
After
|
9x2 = 18 u |
2x9 = 18 u |
Comparing muffins and shortbreads in the end |
1x18 = 18 u |
1x18 = 18 u |
0.1 =
110 0.6 =
610 =
35 The number of muffins and shortbreads is the same in the end. Make the number of muffins and shortbreads in the end the same. LCM of 9 and 2 and 1 is 18.
Total number of muffins and shortbreads at first
= 20 u + 45 u
= 65 u
65 u = 520
1 u = 520 ÷ 65 = 8
Number of muffins that Jane had left
= 18 u
= 18 x 8
= 144
Answer(s): 144