Bag Q and Bag R have a total of 52 chocolate bars. After 6 chocolate bars were transferred from Bag Q to Bag R, there were 3 times as many chocolate bars in Bag Q as Bag R. How many chocolate bars were there in each bag at first?
- Bag Q
- Bag R
|
Bag Q |
Bag R |
Total |
Before |
3 u + 6 |
1 u - 6 |
52 |
Change |
- 6 |
+ 6 |
|
After |
3 u |
1 u |
52 |
(a)
The total number of chocolate bars at first and in the end remains the same.
Total number of chocolate bars in the end
= 3 u + 1 u
= 4 u
4 u = 52
1 u = 52 ÷ 4 = 13
Number of chocolate bars in Bag Q at first
= 3 u + 6
= 3 x 13 + 6
= 39 + 6
= 45
(b)
Number of chocolate bars in Bag R at first
= 1 u - 6
= 13 - 6
= 7
Answer(s): (a) 45; (b) 7