Box X and Box Y have a total of 112 chocolate bars. After 12 chocolate bars were transferred from Box X to Box Y, there were 6 times as many chocolate bars in Box X as Box Y. How many chocolate bars were there in each box in the end?
- Box X
- Box Y
|
Box X |
Box Y |
Total |
Before |
6 u + 12 |
1 u - 12 |
112 |
Change |
- 12 |
+ 12 |
|
After |
6 u |
1 u |
112 |
(a)
The total number of chocolate bars at first and in the end remains the same.
Total number of chocolate bars in the end
= 6 u + 1 u
= 7 u
7 u = 112
1 u = 112 ÷ 7 = 16
Number of chocolate bars in Box X in the end
= 6 u
= 6 x 16
= 96
(b)
Number of chocolate bars in Box Y in the end
= 1 u
= 16
Answer(s): (a) 96; (b) 16