Adam pays $42 for 5 beads and 4 marbles.
4 beads cost as much as 1 marble.
- How much is 1 bead?
- How much is 1 marble?
- How much is 5 marbles and 4 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 5 beads
= 5 x 1 u
= 5 u
Cost of 4 marbles
= 4 x 4 u
= 16 u
Total cost of 5 beads and 4 marbles
= 5 u + 16 u
= 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Cost of 1 bead
= 1 u
= $2
(b)
Cost of 1 marble
= 4 u
= 4 x 2
= $8
(c)
Cost of 5 marbles and 4 beads
= 5 x 4 u + 4 x 1 u
= 20 u + 4 u
= 24 u
= 24 x 2
= $48
Answer(s): (a) $2; (b) $8; (c) $48