If Adam buys 4 beads and 5 marbles, it costs $54.40.
If Adam buys 5 beads and 4 marbles, he will need another $3.70.
- Find the cost of 1 bead and 1 marble.
- Find the cost of 1 bead.
- Find the cost of 1 marble.
(a)
4 beads + 5 marbles = 54.40 --- (1)
5 beads + 4 marbles = 54.40 + 3.70 = 58.10 --- (2)
(1) + (2)
9 beads + 9 marbles = 112.50 --- (3)
(3)
÷ 9 1 bead + 1 marble = 112.50 ÷ 9 = 12.50 --- (4)
Cost of 1 bead and 1 marble = $12.50
(b)
5 beads + 4 marbles = 58.10 --- (2)
(4)
x 4 4 beads + 4 marbles = 4 x 12.50 = 500 --- (5)
(2) - (5)
5 beads + 4 marbles - 4 beads - 4 marbles = 58.10 - 500
5 beads - 4 beads + 4 marbles - 4 marbles = 8.10
1 bead = 8.10
Cost of 1 bead = $8.10
(c)
Substitute 1 bead = 8.10 into (4).
1 bead + 1 marble = 12.50
8.10 + 1 marble = 12.50
1 marble = 12.50 - 8.10 = 4.40
Cost of 1 marble = $4.40
Answer(s): (a) $12.50; (b) $8.10; (c) $4.40