Adam pays $48 for 5 beads and 2 marbles.
3 beads cost as much as 2 marbles.
- How much is 1 bead?
- How much is 1 marble?
- How much is 3 marbles and 2 beads?
(a)
LCM of 3 and 2 = 6
Cost of 3 beads = 6 u
Cost of 1 bead = 6 u ÷ 3 = 2 u
Cost of 2 marbles = 6 u
Cost of 1 marble = 6 u ÷ 2 = 3 u
Cost of 5 beads = 5 x 2 u = 10 u
Cost of 2 marbles = 2 x 3 u = 6 u
Total cost of 5 beads and 2 marbles
= 10 u + 6 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Cost of 1 bead
= 2 u
= 2 x 3
= $6
(b)
Cost of 1 marble
= 3 u
= 3 x 3
= $9
(c)
Cost of 3 marbles and 2 beads
= 3 x 3 u + 2 x 2 u
= 9 u + 4 u
= 13 u
= 13 x 3
= $39
Answer(s): (a) $6; (b) $9; (c) $39
