Basket T and Basket U have a total of 30 sweets. After 2 sweets were transferred from Basket T to Basket U, there were 5 times as many sweets in Basket T as Basket U. How many sweets were there in each basket at first?
- Basket T
- Basket U
|
Basket T |
Basket U |
Total |
Before |
5 u + 2 |
1 u - 2 |
30 |
Change |
- 2 |
+ 2 |
|
After |
5 u |
1 u |
30 |
(a)
The total number of sweets at first and in the end remains the same.
Total number of sweets in the end
= 5 u + 1 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Number of sweets in Basket T at first
= 5 u + 2
= 5 x 5 + 2
= 25 + 2
= 27
(b)
Number of sweets in Basket U at first
= 1 u - 2
= 5 - 2
= 3
Answer(s): (a) 27; (b) 3