Adam pays $36 for 6 beads and 3 marbles.
4 beads cost as much as 1 marble.
- How much is 1 bead?
- How much is 1 marble?
- How much is 4 marbles and 3 beads?
(a)
Choose the smaller group to be 1 u.
Cost of 1 bead = 1 u
Cost of 4 beads = 4 u
Cost of 1 marble = 4 u
Cost of 6 beads
= 6 x 1 u
= 6 u
Cost of 3 marbles
= 3 x 4 u
= 12 u
Total cost of 6 beads and 3 marbles
= 6 u + 12 u
= 18 u
18 u = 36
1 u = 36 ÷ 18 = 2
Cost of 1 bead
= 1 u
= $2
(b)
Cost of 1 marble
= 4 u
= 4 x 2
= $8
(c)
Cost of 4 marbles and 3 beads
= 4 x 4 u + 3 x 1 u
= 16 u + 3 u
= 19 u
= 19 x 2
= $38
Answer(s): (a) $2; (b) $8; (c) $38
