Adam pays $16 for 2 marbles and 3 beads.
2 marbles cost as much as 5 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 5 beads and 4 marbles?
(a)
LCM of 2 and 5 = 10
Cost of 2 marbles = 10 u
Cost of 1 marble = 10 u ÷ 2 = 5 u
Cost of 5 beads = 10 u
Cost of 1 bead = 10 u ÷ 5 = 2 u
Cost of 2 marbles = 2 x 5 u = 10 u
Cost of 3 beads = 3 x 2 u = 6 u
Total cost of 2 marbles and 3 beads
= 10 u + 6 u
= 16 u
16 u = 16
1 u = 16 ÷ 16 = 1
Cost of 1 marble
= 5 u
= 5 x 1
= $5
(b)
Cost of 1 bead
= 2 u
= 2 x 1
= $2
(c)
Cost of 5 beads and 4 marbles
= 5 x 2 u + 4 x 5 u
= 10 u + 20 u
= 30 u
= 30 x 1
= $30
Answer(s): (a) $5; (b) $2; (c) $30
