If Adam buys 5 beads and 6 marbles, it costs $51.60.
If Adam buys 6 beads and 5 marbles, he will have $5.30 left.
- Find the cost of 1 bead and 1 marble.
- Find the cost of 1 bead.
- Find the cost of 1 marble.
(a)
5 beads + 6 marbles = 51.60 --- (1)
6 beads + 5 marbles = 51.60 - 5.30 = 46.30 --- (2)
(1) + (2)
11 beads + 11 marbles = 97.90 --- (3)
(3)
÷ 11 1 bead + 1 marble = 97.90 ÷ 11 = 8.90 --- (4)
Cost of 1 bead and 1 marble = $8.90
(b)
(4)
x 5 5 beads + 5 marbles = 5 x 8.90 = 44.50 --- (5)
(2) - (5)
6 beads + 5 marbles - 5 beads - 5 marbles = 46.30 - 44.50
6 beads - 5 beads - 5 marbles + 5 marbles = 1.80
1 bead = 1.80
Cost of 1 bead = $1.80
(c)
Substitute 1 bead = 1.80 into (4).
1 bead + 1 marble = 8.90
1.80 + 1 marble = 8.90
1 marble = 8.90 - 1.80 = 7.10
Cost of 1 marble = $7.10
Answer(s): (a) $8.90; (b) $1.80; (c) $7.10