Adam pays $34 for 5 marbles and 3 beads.
8 marbles cost as much as 2 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 3 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 5 marbles
= 5 x 1 u
= 5 u
Cost of 3 beads
= 3 x 4 u
= 12 u
Total cost of 5 marbles and 3 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
= 4 u
= 4 x 2
= $8
(c)
Cost of 3 beads and 4 marbles
= 3 x 4 u + 4 x 1 u
= 12 u + 4 u
= 16 u
= 16 x 2
= $32
Answer(s): (a) $2; (b) $8; (c) $32