Adam pays $33 for 5 beads and 2 marbles.
6 beads cost as much as 2 marbles.
- How much is 1 bead?
- How much is 1 marble?
- How much is 4 marbles and 3 beads?
(a)
Choose the smaller group to be 1 u.
Cost of 6 beads = Cost of 2 marbles
Cost of 3 beads = Cost of 1 marble
Cost of 1 bead = 1 u
Cost of 1 marble = 3 u
Cost of 5 beads
= 5 x 1 u
= 5 u
Cost of 2 marbles
= 2 x 3 u
= 6 u
Total cost of 5 beads and 2 marbles
= 5 u + 6 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Cost of 1 bead = 1 u = $3
(b)
Cost of 1 marble
= 3 u
= 3 x 3
= $9
(c)
Cost of 4 marbles and 3 beads
= 4 x 3 u + 3 x 1 u
= 12 u + 3 u
= 15 u
= 15 x 3
= $45
Answer(s): (a) $3; (b) $9; (c) $45
