Rael had 140 more beads than Brandon. Rael gave 25% of his beads to Brandon. Brandon in return gave 60% of his beads to Rael. In the end, Rael had 388 more beads than Brandon. How many beads did Rael have at first?
| |
Rael |
Brandon |
Comparing Rael
and Peter at first |
140 more |
|
| Before |
4 u + 140 |
4 u |
| Change 1 |
- 1 u - 35 |
+ 1 u + 35 |
| After 1 |
3 u + 105 |
5 u + 35 |
| Change 2 |
+ 3 u + 21 |
- 3 u - 21 |
| After 2 |
6 u + 126 |
2 u + 14 |
25% =
25100 =
1425% x 140
=
25100 x 140
= 35
60% x 35
=
60100 x 35
= 21
60% x 5 u
=
60100 x 5 u
= 3 u
Rael had 388 more beads than Brandon in the end. If another 388 beads are given to Brandon, both will have the same number of beads.
6 u + 126 = 2 u + 14 + 388
6 u - 2 u = 14 + 388 - 126
12 u = 276
1 u = 276 ÷ 12 = 23
Number of Rael's beads at first
= 4 u + 140
= 4 x 23 + 140
= 92 + 140
= 232
Answer: 232
