Adam pays $22 for 3 marbles and 4 beads.
4 marbles cost as much as 2 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 4 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 3 marbles = 3 x 1 u = 3 u
Cost of 4 beads = 4 x 2 u = 8 u
Total cost of 3 marbles and 4 beads
= 3 u + 8 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Cost of 1 marble
= 1 u
= 1 x 2
= $2
(b)
Cost of 1 bead
= 2 u
= 2 x 2
= $4
(c)
Cost of 4 beads and 3 marbles
= 4 x 2 u + 3 x 1 u
= 8 u + 3 u
= 11 u
= 11 x 2
= $22
Answer(s): (a) $2; (b) $4; (c) $22