Adam pays $32 for 4 beads and 2 marbles.
8 beads cost as much as 4 marbles.
- How much is 1 bead?
- How much is 1 marble?
- How much is 3 marbles and 2 beads?
(a)
Choose the smaller group to be 1 u.
Cost of 8 beads = Cost of 4 marbles
Cost of 2 beads = Cost of 1 marble
Cost of 1 bead = 1 u
Cost of 1 marble = 2 u
Cost of 4 beads
= 4 x 1 u
= 4 u
Cost of 2 marbles
= 2 x 2 u
= 4 u
Total cost of 4 beads and 2 marbles
= 4 u + 4 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Cost of 1 bead = 1 u = $4
(b)
Cost of 1 marble
= 2 u
= 2 x 4
= $8
(c)
Cost of 3 marbles and 2 beads
= 3 x 2 u + 2 x 1 u
= 6 u + 2 u
= 8 u
= 8 x 4
= $32
Answer(s): (a) $4; (b) $8; (c) $32
