Adam pays $48 for 5 marbles and 2 beads.
2 marbles cost as much as 4 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 2 beads and 5 marbles?
(a)
LCM of 2 and 4 = 4
Cost of 2 marbles = 4 u
Cost of 1 marble = 4 u ÷ 2 = 2 u
Cost of 4 beads = 4 u
Cost of 1 bead = 4 u ÷ 4 = 1 u
Cost of 5 marbles = 5 x 2 u = 10 u
Cost of 2 beads = 2 x 1 u = 2 u
Total cost of 5 marbles and 2 beads
= 10 u + 2 u
= 12 u
12 u = 48
1 u = 48 ÷ 12 = 4
Cost of 1 marble
= 2 u
= 2 x 4
= $8
(b)
Cost of 1 bead
= 1 u
= 1 x 4
= $4
(c)
Cost of 2 beads and 5 marbles
= 2 x 1 u + 5 x 2 u
= 2 u + 10 u
= 12 u
= 12 x 4
= $48
Answer(s): (a) $8; (b) $4; (c) $48
