Adam pays $46 for 3 marbles and 4 beads.
10 marbles cost as much as 2 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 4 beads and 5 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 10 marbles = Cost of 2 beads
Cost of 5 marbles = Cost of 1 bead
Cost of 1 marble = 1 u
Cost of 1 bead = 5 u
Cost of 3 marbles
= 3 x 1 u
= 3 u
Cost of 4 beads
= 4 x 5 u
= 20 u
Total cost of 3 marbles and 4 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
= 5 u
= 5 x 2
= $10
(c)
Cost of 4 beads and 5 marbles
= 4 x 5 u + 5 x 1 u
= 20 u + 5 u
= 25 u
= 25 x 2
= $50
Answer(s): (a) $2; (b) $10; (c) $50