Basket P and Basket Q have a total of 72 sweets. After 9 sweets were transferred from Basket P to Basket Q, there were 3 times as many sweets in Basket P as Basket Q. How many sweets were there in each basket at first?
- Basket P
- Basket Q
|
Basket P |
Basket Q |
Total |
Before |
3 u + 9 |
1 u - 9 |
72 |
Change |
- 9 |
+ 9 |
|
After |
3 u |
1 u |
72 |
(a)
The total number of sweets at first and in the end remains the same.
Total number of sweets in the end
= 3 u + 1 u
= 4 u
4 u = 72
1 u = 72 ÷ 4 = 18
Number of sweets in Basket P at first
= 3 u + 9
= 3 x 18 + 9
= 54 + 9
= 63
(b)
Number of sweets in Basket Q at first
= 1 u - 9
= 18 - 9
= 9
Answer(s): (a) 63; (b) 9