Adam pays $36 for 5 marbles and 2 beads.
4 marbles cost as much as 2 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 2 beads and 3 marbles?
(a)
LCM of 4 and 2 = 4
Cost of 4 marbles = 4 u
Cost of 1 marble = 4 u ÷ 4 = 1 u
Cost of 2 beads = 4 u
Cost of 1 bead = 4 u ÷ 2 = 2 u
Cost of 5 marbles = 5 x 1 u = 5 u
Cost of 2 beads = 2 x 2 u = 4 u
Total cost of 5 marbles and 2 beads
= 5 u + 4 u
= 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Cost of 1 marble
= 1 u
= 1 x 4
= $4
(b)
Cost of 1 bead
= 2 u
= 2 x 4
= $8
(c)
Cost of 2 beads and 3 marbles
= 2 x 2 u + 3 x 1 u
= 4 u + 3 u
= 7 u
= 7 x 4
= $28
Answer(s): (a) $4; (b) $8; (c) $28