Adam pays $34 for 5 marbles and 6 beads.
2 marbles cost as much as 1 bead.
- How much is 1 marble?
- How much is 1 bead?
- How much is 4 beads and 5 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 1 marble = 1 u
Cost of 2 marbles = 2 u
Cost of 1 bead = 2 u
Cost of 5 marbles
= 5 x 1 u
= 5 u
Cost of 6 beads
= 6 x 2 u
= 12 u
Total cost of 5 marbles and 6 beads
= 5 u + 12 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Cost of 1 marble
= 1 u
= $2
(b)
Cost of 1 bead
= 2 u
= 2 x 2
= $4
(c)
Cost of 4 beads and 5 marbles
= 4 x 2 u + 5 x 1 u
= 8 u + 5 u
= 13 u
= 13 x 2
= $26
Answer(s): (a) $2; (b) $4; (c) $26