Cole bought 38 more beads than Glen and Glen bought 19 beads more than Gem. The total number of beads Cole and Glen bought was 6 times the number of beads Gem bought.
- How many beads does Cole need to give Glen so that they have the same number of beads?
- How many beads did all three of them have altogether?
Cole |
Glen |
Gem |
1 u + 19 + 38 |
1 u + 19 |
1 u |
6 u |
1 u |
(a)
Number of beads that Cole needs to give Glen so that they have same number of beads
= 38 ÷ 2
= 19
(b)
Total number of beads that Cole and Glen had
= 1 u + 19 + 38 + 1 u + 19
= 1 u + 1 u + 19 + 38 + 19
= 2 u + 76
6 u = 2 u + 76
6 u - 2 u = 76
4 u = 76
1 u = 76 ÷ 4 = 19
Total number of beads that all three of them had
= 6 u + 1 u
= 7 u
= 7 x 19
= 133
Answer(s): (a) 19; (b) 133