Adam pays $46 for 3 marbles and 5 beads.
8 marbles cost as much as 2 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 5 beads and 4 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 8 marbles = Cost of 2 beads
Cost of 4 marbles = Cost of 1 bead
Cost of 1 marble = 1 u
Cost of 1 bead = 4 u
Cost of 3 marbles
= 3 x 1 u
= 3 u
Cost of 5 beads
= 5 x 4 u
= 20 u
Total cost of 3 marbles and 5 beads
= 3 u + 20 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Cost of 1 marble = 1 u = $2
(b)
Cost of 1 bead
= 4 u
= 4 x 2
= $8
(c)
Cost of 5 beads and 4 marbles
= 5 x 4 u + 4 x 1 u
= 20 u + 4 u
= 24 u
= 24 x 2
= $48
Answer(s): (a) $2; (b) $8; (c) $48