Adam pays $32 for 2 beads and 3 marbles.
4 beads cost as much as 2 marbles.
- How much is 1 bead?
- How much is 1 marble?
- How much is 2 marbles and 5 beads?
(a)
LCM of 4 and 2 = 4
Cost of 4 beads = 4 u
Cost of 1 bead = 4 u ÷ 4 = 1 u
Cost of 2 marbles = 4 u
Cost of 1 marble = 4 u ÷ 2 = 2 u
Cost of 2 beads = 2 x 1 u = 2 u
Cost of 3 marbles = 3 x 2 u = 6 u
Total cost of 2 beads and 3 marbles
= 2 u + 6 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Cost of 1 bead
= 1 u
= 1 x 4
= $4
(b)
Cost of 1 marble
= 2 u
= 2 x 4
= $8
(c)
Cost of 2 marbles and 5 beads
= 2 x 2 u + 5 x 1 u
= 4 u + 5 u
= 9 u
= 9 x 4
= $36
Answer(s): (a) $4; (b) $8; (c) $36