Mark had 75% fewer sweets than Ethan. After Ethan gave 152 sweets to Mark, Mark had
34 as many sweets as Ethan. How many sweets did each of them have in the end?
- Ethan
- Mark
| |
Mark |
Ethan |
Total |
| Before |
1x7 =
7 u |
4x7 =
28 u |
5x7 =
35 u |
| Change |
+ 152 |
- 152 |
|
| After |
3x5 =
15 u |
4x5 =
20 u |
7x5 =
35 u |
Number of sweets that Mark had at first in percentage
= 100% - 75%
= 25%
25% =
25100 =
14 The total number of sweets at first and in the end remains unchanged. Make the total number of sweets the same. LCM of 7 and 5 is 35.
Number of sweets that Ethan gave to Mark
= 28 u - 20 u
= 8 u
8 u = 152
1 u = 152 ÷ 8 = 19
Number of sweets that Mark had in the end
= 15 u
= 15 x 19
= 285
Number of sweets that Ethan had in the end
= 20 u
= 20 x 19
= 380
Answer(s): (a) 285; (b) 380
