Adam pays $11 for 5 marbles and 3 beads.
6 marbles cost as much as 3 beads.
- How much is 1 marble?
- How much is 1 bead?
- How much is 4 beads and 3 marbles?
(a)
Choose the smaller group to be 1 u.
Cost of 6 marbles = Cost of 3 beads
Cost of 2 marbles = Cost of 1 bead
Cost of 1 marble = 1 u
Cost of 1 bead = 2 u
Cost of 5 marbles
= 5 x 1 u
= 5 u
Cost of 3 beads
= 3 x 2 u
= 6 u
Total cost of 5 marbles and 3 beads
= 5 u + 6 u
= 11 u
11 u = 11
1 u = 11 ÷ 11 = 1
Cost of 1 marble = 1 u = $1
(b)
Cost of 1 bead
= 2 u
= 2 x 1
= $2
(c)
Cost of 4 beads and 3 marbles
= 4 x 2 u + 3 x 1 u
= 8 u + 3 u
= 11 u
= 11 x 1
= $11
Answer(s): (a) $1; (b) $2; (c) $11
