PSLEBen had 5 bags of beads. At first, each of the bags contained the same number of beads. He took 14 beads from each bag. After that, the total number of beads left in the 5 bags was equal to the total number of beads in 3 of the bags at first. What was the number of beads in each bag in the end?
|
3 bags at first |
Total bags in the end |
Number |
3 |
5 |
Value |
1 u + 14 |
1 u |
Total value |
3 u + 42 |
5 u |
Number of beads in each bag in the end = 1 u
Number of beads in each bag at first = 1 u + 14
Number of beads in 3 bags at first
= 3 x (1 u + 14)
= 3 u + 42
Total number of beads left in the 5 bags was equal to total number of beads in 3 bags at first.
5 u = 3 u + 42
5 u - 3 u = 42
2 u = 42
1 u = 42 ÷ 2 = 21
Number of beads in each bag in the end = 21
Answer(s): 21