Carl bought 52 more beads than Bryan and Bryan bought 13 beads more than Kylie. The total number of beads Carl and Bryan bought was 4 times the number of beads Kylie bought.
- How many beads does Carl need to give Bryan so that they have the same number of beads?
- How many beads did all three of them have altogether?
Carl |
Bryan |
Kylie |
1 u + 13 + 52 |
1 u + 13 |
1 u |
4 u |
1 u |
(a)
Number of beads that Carl needs to give Bryan so that they have same number of beads
= 52 ÷ 2
= 26
(b)
Total number of beads that Carl and Bryan had
= 1 u + 13 + 52 + 1 u + 13
= 1 u + 1 u + 13 + 52 + 13
= 2 u + 78
4 u = 2 u + 78
4 u - 2 u = 78
2 u = 78
1 u = 78 ÷ 2 = 39
Total number of beads that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 39
= 195
Answer(s): (a) 26; (b) 195