Adam pays $40 for 2 marbles and 4 beads.
2 marbles cost as much as 1 bead.
- How much is 1 marble?
- How much is 1 bead?
- How much is 5 beads and 4 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 1 marble = 1 u
Cost of 2 marbles = 2 u
Cost of 1 bead = 2 u
Cost of 2 marbles
= 2 x 1 u
= 2 u
Cost of 4 beads
= 4 x 2 u
= 8 u
Total cost of 2 marbles and 4 beads
= 2 u + 8 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
Cost of 1 marble
= 1 u
= $4
(b)
Cost of 1 bead
= 2 u
= 2 x 4
= $8
(c)
Cost of 5 beads and 4 marbles
= 5 x 2 u + 4 x 1 u
= 10 u + 4 u
= 14 u
= 14 x 4
= $56
Answer(s): (a) $4; (b) $8; (c) $56