Tommy had 75% fewer sweets than John. After John gave 205 sweets to Tommy, Tommy had
23 as many sweets as John. How many sweets did each of them have in the end?
- John
- Tommy
| |
Tommy |
John |
Total |
| Before |
1x5 =
5 u |
4x5 =
20 u |
5x5 =
25 u |
| Change |
+ 205 |
- 205 |
|
| After |
2x5 =
10 u |
3x5 =
15 u |
5x5 =
25 u |
Number of sweets that Tommy 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 5 and 5 is 25.
Number of sweets that John gave to Tommy
= 20 u - 15 u
= 5 u
5 u = 205
1 u = 205 ÷ 5 = 41
Number of sweets that Tommy had in the end
= 10 u
= 10 x 41
= 410
Number of sweets that John had in the end
= 15 u
= 15 x 41
= 615
Answer(s): (a) 410; (b) 615
