Adam pays $19 for 5 beads and 3 marbles.
3 beads cost as much as 2 marbles.
- How much is 1 bead?
- How much is 1 marble?
- How much is 2 marbles and 3 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 3 marbles = 3 x 3 u = 9 u
Total cost of 5 beads and 3 marbles
= 10 u + 9 u
= 19 u
19 u = 19
1 u = 19 ÷ 19 = 1
Cost of 1 bead
= 2 u
= 2 x 1
= $2
(b)
Cost of 1 marble
= 3 u
= 3 x 1
= $3
(c)
Cost of 2 marbles and 3 beads
= 2 x 3 u + 3 x 2 u
= 6 u + 6 u
= 12 u
= 12 x 1
= $12
Answer(s): (a) $2; (b) $3; (c) $12
