Henry had 60% fewer sweets than Tom. After Tom gave 286 sweets to Henry, Henry had
56 as many sweets as Tom. How many sweets did each of them have in the end?
- Tom
- Henry
| |
Henry |
Tom |
Total |
| Before |
2x11 =
22 u |
5x11 =
55 u |
7x11 =
77 u |
| Change |
+ 286 |
- 286 |
|
| After |
5x7 =
35 u |
6x7 =
42 u |
11x7 =
77 u |
Number of sweets that Henry had at first in percentage
= 100% - 60%
= 40%
40% =
40100 =
25 The total number of sweets at first and in the end remains unchanged. Make the total number of sweets the same. LCM of 11 and 7 is 77.
Number of sweets that Tom gave to Henry
= 55 u - 42 u
= 13 u
13 u = 286
1 u = 286 ÷ 13 = 22
Number of sweets that Henry had in the end
= 35 u
= 35 x 22
= 770
Number of sweets that Tom had in the end
= 42 u
= 42 x 22
= 924
Answer(s): (a) 770; (b) 924
