Adam pays $28 for 6 beads and 2 marbles.
4 beads cost as much as 1 marble.
- How much is 1 bead?
- How much is 1 marble?
- How much is 2 marbles and 5 beads?
(a)
Choose the smaller group to be 1 u.
Cost of 1 bead = 1 u
Cost of 4 beads = 4 u
Cost of 1 marble = 4 u
Cost of 6 beads
= 6 x 1 u
= 6 u
Cost of 2 marbles
= 2 x 4 u
= 8 u
Total cost of 6 beads and 2 marbles
= 6 u + 8 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Cost of 1 bead
= 1 u
= $2
(b)
Cost of 1 marble
= 4 u
= 4 x 2
= $8
(c)
Cost of 2 marbles and 5 beads
= 2 x 4 u + 5 x 1 u
= 8 u + 5 u
= 13 u
= 13 x 2
= $26
Answer(s): (a) $2; (b) $8; (c) $26