Adam pays $16 for 2 marbles and 3 beads.
10 marbles cost as much as 5 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 10 marbles = Cost of 5 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 3 beads
= 3 x 2 u
= 6 u
Total cost of 2 marbles and 3 beads
= 2 u + 6 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Cost of 1 marble = 1 u = $2
(b)
Cost of 1 bead
= 2 u
= 2 x 2
= $4
(c)
Cost of 4 beads and 2 marbles
= 4 x 2 u + 2 x 1 u
= 8 u + 2 u
= 10 u
= 10 x 2
= $20
Answer(s): (a) $2; (b) $4; (c) $20