Box J and Box K have a total of 100 sweets. After 14 sweets were transferred from Box J to Box K, there were 4 times as many sweets in Box J as Box K. How many sweets were there in each box at first?
- Box J
- Box K
| |
Box J |
Box K |
Total |
| Before |
4 u + 14 |
1 u - 14 |
100 |
| Change |
- 14 |
+ 14 |
|
| After |
4 u |
1 u |
100 |
(a)
The total number of sweets at first and in the end remains the same.
Total number of sweets in the end
= 4 u + 1 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Number of sweets in Box J at first
= 4 u + 14
= 4 x 20 + 14
= 80 + 14
= 94
(b)
Number of sweets in Box K at first
= 1 u - 14
= 20 - 14
= 6
Answer(s): (a) 94; (b) 6
