Adam pays $48 for 4 marbles and 2 beads.
6 marbles cost as much as 3 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 4 beads and 2 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 6 marbles = Cost of 3 beads
Cost of 2 marbles = Cost of 1 bead
Cost of 1 marble = 1 u
Cost of 1 bead = 2 u
Cost of 4 marbles
= 4 x 1 u
= 4 u
Cost of 2 beads
= 2 x 2 u
= 4 u
Total cost of 4 marbles and 2 beads
= 4 u + 4 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Cost of 1 marble = 1 u = $6
(b)
Cost of 1 bead
= 2 u
= 2 x 6
= $12
(c)
Cost of 4 beads and 2 marbles
= 4 x 2 u + 2 x 1 u
= 8 u + 2 u
= 10 u
= 10 x 6
= $60
Answer(s): (a) $6; (b) $12; (c) $60