Ivan has thrice as many beads as Seth. Seth has 11 more beads than Fred. They have a total of 89 beads.
- How many beads does Ivan have?
- How many beads does Fred have?
(a)
Number of beads that Seth has = 1 u
Number of beads that Fred has = 1 u - 11
Number of beads that Ivan has = 3 u
Total number of beads
= 1 u + 1 u - 11 + 3 u
= 5 u - 11
5 u - 11 = 89
5 u = 89 + 11
5 u = 100
1 u = 100 ÷ 5 = 20
Number of beads that Ivan has
= 3 u
= 3 x 20
= 60
(b)
Number of beads that Fred has
= 1 u - 11
= 20 - 11
= 9
Answer(s): (a) 60; (b) 9
