If Adam buys 4 beads and 5 marbles, it costs $53.10.
If Adam buys 5 beads and 4 marbles, he will have $4.50 left.
- 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 = 53.10 --- (1)
5 beads + 4 marbles = 53.10 - 4.50 = 48.60 --- (2)
(1) + (2)
9 beads + 9 marbles = 101.70 --- (3)
(3)
÷ 9 1 bead + 1 marble = 101.70 ÷ 9 = 11.30 --- (4)
Cost of 1 bead and 1 marble = $11.30
(b)
(4)
x 4 4 beads + 4 marbles = 4 x 11.30 = 45.20 --- (5)
(2) - (5)
5 beads + 4 marbles - 4 beads - 4 marbles = 48.60 - 45.20
5 beads - 4 beads - 4 marbles + 4 marbles = 3.40
1 bead = 3.40
Cost of 1 bead = $3.40
(c)
Substitute 1 bead = 3.40 into (4).
1 bead + 1 marble = 11.30
3.40 + 1 marble = 11.30
1 marble = 11.30 - 3.40 = 7.90
Cost of 1 marble = $7.90
Answer(s): (a) $11.30; (b) $3.40; (c) $7.90