Jade made 275 tarts and shortbreads. After she gave 0.3 of the tarts and 0.6 of the shortbreads to her pupils, she was left with an equal number of tarts and shortbreads. How many tarts had she left?
|
Tarts |
Shortbreads |
Before
|
10x2 = 20 u |
5x7 = 35 u |
Change
|
- 3x2 = - 6 u |
- 3x7 = - 21 u |
After
|
7x2 = 14 u |
2x7 = 14 u |
Comparing tarts and shortbreads in the end |
1x14 = 14 u |
1x14 = 14 u |
0.3 =
310 0.6 =
610 =
35 The number of tarts and shortbreads is the same in the end. Make the number of tarts and shortbreads in the end the same. LCM of 7 and 2 and 1 is 14.
Total number of tarts and shortbreads at first
= 20 u + 35 u
= 55 u
55 u = 275
1 u = 275 ÷ 55 = 5
Number of tarts that Jade had left
= 14 u
= 14 x 5
= 70
Answer(s): 70