Luis bought 42 more beads than Ben and Ben bought 24 beads more than Tiffany. The total number of beads Luis and Ben bought was 5 times the number of beads Tiffany bought.
- How many beads does Luis need to give Ben so that they have the same number of beads?
- How many beads did all three of them have altogether?
Luis |
Ben |
Tiffany |
1 u + 24 + 42 |
1 u + 24 |
1 u |
5 u |
1 u |
(a)
Number of beads that Luis needs to give Ben so that they have same number of beads
= 42 ÷ 2
= 21
(b)
Total number of beads that Luis and Ben had
= 1 u + 24 + 42 + 1 u + 24
= 1 u + 1 u + 24 + 42 + 24
= 2 u + 90
5 u = 2 u + 90
5 u - 2 u = 90
3 u = 90
1 u = 90 ÷ 3 = 30
Total number of beads that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 30
= 180
Answer(s): (a) 21; (b) 180