4 marbles and 1 bead cost $23.30.
1 marble and 4 beads cost $24.20.

1. Find the cost of 1 marble and 1 bead.
2. Find the cost of 1 bead.
3. Find the cost of 1 marble.
4. Find the cost of 5 marbles and 5 beads.

(a)
4 marbles + 1 bead = 23.30 --- (1)
1 marble + 4 beads = 24.20 --- (2)

(1) + (2)
5 marbles + 5 beads = 23.30 + 24.20
5 marbles + 5 beads = 47.50 --- (3)

(3) _{÷ 5}
5 marbles + 5 beads = 47.50
1 marble + 1 bead = 47.50 ÷ 5
1 marble + 1 bead = 9.50 --- (4)

(b)
(2) - (4)
(1 marble + 4 beads) - (1 marble + 1 marble) = 24.20 - 9.50
1 marble - 1 marble + 4 beads - 1 bead = 14.70
3 beads = 14.70
1 bead = 14.70 ÷ 3 = 4.90

Cost of 1 bead = $4.90

(c)
Substitute 1 bead = 4.90 into (4).
1 marble + 1 bead = 9.50
1 marble + 4.90 = 9.50
1 marble = 9.50 - 4.90 = 4.60

Cost of 1 marble = $4.60

(d)
(4) _{x 5}
1 marble + 1 bead = 9.50
5 x (1 marble + 1 marble) = 5 x 9.50
5 marbles + 5 beads = 47.50

Cost of 5 marbles and 5 beads = $47.50

Answer(s): (a) $9.50; (b) $4.90; (c) $4.60; (d) $47.50