Adam pays $38 for 2 beads and 3 marbles.
3 beads cost as much as 5 marbles.
- How much is 1 bead?
- How much is 1 marble?
- How much is 3 marbles and 4 beads?
(a)
LCM of 3 and 5 = 15
Cost of 3 beads = 15 u
Cost of 1 bead = 15 u ÷ 3 = 5 u
Cost of 5 marbles = 15 u
Cost of 1 marble = 15 u ÷ 5 = 3 u
Cost of 2 beads = 2 x 5 u = 10 u
Cost of 3 marbles = 3 x 3 u = 9 u
Total cost of 2 beads and 3 marbles
= 10 u + 9 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Cost of 1 bead
= 5 u
= 5 x 2
= $10
(b)
Cost of 1 marble
= 3 u
= 3 x 2
= $6
(c)
Cost of 3 marbles and 4 beads
= 3 x 3 u + 4 x 5 u
= 9 u + 20 u
= 29 u
= 29 x 2
= $58
Answer(s): (a) $10; (b) $6; (c) $58
