Adam pays $42 for 2 beads and 6 marbles.
2 beads cost as much as 1 marble.
- 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 1 bead = 1 u
Cost of 2 beads = 2 u
Cost of 1 marble = 2 u
Cost of 2 beads
= 2 x 1 u
= 2 u
Cost of 6 marbles
= 6 x 2 u
= 12 u
Total cost of 2 beads and 6 marbles
= 2 u + 12 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Cost of 1 bead
= 1 u
= $3
(b)
Cost of 1 marble
= 2 u
= 2 x 3
= $6
(c)
Cost of 3 marbles and 2 beads
= 3 x 2 u + 2 x 1 u
= 6 u + 2 u
= 8 u
= 8 x 3
= $24
Answer(s): (a) $3; (b) $6; (c) $24
