5 beads and 1 marble cost $24.80.
1 bead and 5 marbles cost $25.60.

1. Find the cost of 1 bead and 1 marble.
2. Find the cost of 1 marble.
3. Find the cost of 1 bead.
4. Find the cost of 6 beads and 6 marbles.

(a)
5 beads + 1 marble = 24.80 --- (1)
1 bead + 5 marbles = 25.60 --- (2)

(1) + (2)
6 beads + 6 marbles = 24.80 + 25.60
6 beads + 6 marbles = 50.40 --- (3)

(3) _{÷ 6}
6 beads + 6 marbles = 50.40
1 bead + 1 marble = 50.40 ÷ 6
1 bead + 1 marble = 8.40 --- (4)

(b)
(2) - (4)
(1 bead + 5 marbles) - (1 bead + 1 marble) = 25.60 - 8.40
1 bead - 1 bead + 5 marbles - 1 marble = 17.20
4 marbles = 17.20
1 marble = 17.20 ÷ 4 = 4.30

Cost of 1 marble = $4.30

(c)
Substitute 1 marble = 4.30 into (4).
1 bead + 1 marble = 8.40
1 bead + 4.30 = 8.40
1 bead = 8.40 - 4.30 = 4.10

Cost of 1 bead = $4.10

(d)
(4) _{x 6}
1 bead + 1 marble = 8.40
6 x (1 bead + 1 marble) = 6 x 8.40
6 beads + 6 marbles = 50.40

Cost of 6 beads and 6 marbles = $50.40

Answer(s): (a) $8.40; (b) $4.30; (c) $4.10; (d) $50.40