Adam pays $34 for 5 marbles and 4 beads.
3 marbles cost as much as 1 bead.
- How much is 1 marble?
- How much is 1 bead?
- How much is 2 beads and 4 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 1 marble = 1 u
Cost of 3 marbles = 3 u
Cost of 1 bead = 3 u
Cost of 5 marbles
= 5 x 1 u
= 5 u
Cost of 4 beads
= 4 x 3 u
= 12 u
Total cost of 5 marbles and 4 beads
= 5 u + 12 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Cost of 1 marble
= 1 u
= $2
(b)
Cost of 1 bead
= 3 u
= 3 x 2
= $6
(c)
Cost of 2 beads and 4 marbles
= 2 x 3 u + 4 x 1 u
= 6 u + 4 u
= 10 u
= 10 x 2
= $20
Answer(s): (a) $2; (b) $6; (c) $20