Vaidev had 70% fewer sweets than Cody. After Cody gave 360 sweets to Vaidev, Vaidev had
34 as many sweets as Cody. How many sweets did each of them have in the end?
- Cody
- Vaidev
|
Vaidev |
Cody |
Total |
Before |
3x7 = 21 u |
10x7 = 70 u |
13x7 = 91 u |
Change |
+ 360 |
- 360 |
|
After |
3x13 = 39 u |
4x13 = 52 u |
7x13 = 91 u |
Number of sweets that Vaidev had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 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 13 is 91.
Number of sweets that Cody gave to Vaidev
= 70 u - 52 u
= 18 u
18 u = 360
1 u = 360 ÷ 18 = 20
Number of sweets that Vaidev had in the end
= 39 u
= 39 x 20
= 780
Number of sweets that Cody had in the end
= 52 u
= 52 x 20
= 1040
Answer(s): (a) 780; (b) 1040