Adam pays $50 for 2 marbles and 4 beads.
8 marbles cost as much as 4 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 2 beads and 5 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 8 marbles = Cost of 4 beads
Cost of 2 marbles = Cost of 1 bead
Cost of 1 marble = 1 u
Cost of 1 bead = 2 u
Cost of 2 marbles
= 2 x 1 u
= 2 u
Cost of 4 beads
= 4 x 2 u
= 8 u
Total cost of 2 marbles and 4 beads
= 2 u + 8 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Cost of 1 marble = 1 u = $5
(b)
Cost of 1 bead
= 2 u
= 2 x 5
= $10
(c)
Cost of 2 beads and 5 marbles
= 2 x 2 u + 5 x 1 u
= 4 u + 5 u
= 9 u
= 9 x 5
= $45
Answer(s): (a) $5; (b) $10; (c) $45