Adam spends $13.30 on 2 marbles and 3 beads.
A marble costs $1.40 more than 1 bead.
- How much does 1 marble cost?
- How much do 3 marbles cost?
- How much do a bead and 3 marbles cost?
- How much do 3 marbles cost more than 1 bead?
(a)
Let the cheaper item be 1 u.
Cost of 1 bead = 1 u
Cost of 1 marble = 1 u + 1.40
Total cost of 2 marbles and 3 beads
= 2(1 u + 1.40) + 3 u
= 2 u + 2.80 + 3 u
= 2 u + 3 u + 2.80
= 5 u + 2.80
5 u + 2.80 = 13.30
5 u = 13.30 - 2.80
5 u = 10.50
1 u = 10.50 ÷ 5 = 2.10
Cost of 1 marble
= 1 u + 1.40
= 2.10 + 1.40
= $3.50
(b)
Cost of 3 marbles
= 3 x 3.50
= $10.50
(c)
Cost of 1 bead and 3 marbles
= 2.10 + 10.50
= $12.60
(d)
Cost of 3 marbles more than 1 bead
= 10.50 - 2.10
= $8.40
Answer(s): (a) $3.50; (b) $10.50; (c) $12.60; (d) $8.40