Adam spends $16.30 on 5 marbles and 6 beads.
A marble costs $1.50 more than 1 bead.
- How much does 1 marble cost?
- How much do 7 marbles cost?
- How much do a bead and 7 marbles cost?
- How much do 7 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 + 1.50
Total cost of 5 marbles and 6 beads
= 5(1 u + 1.50) + 6 u
= 5 u + 7.50 + 6 u
= 5 u + 6 u + 7.50
= 11 u + 7.50
11 u + 7.50 = 16.30
11 u = 16.30 - 7.50
11 u = 8.80
1 u = 8.80 ÷ 11 = 0.80
Cost of 1 marble
= 1 u + 1.50
= 0.80 + 1.50
= $2.30
(b)
Cost of 7 marbles
= 7 x 2.30
= $16.10
(c)
Cost of 1 bead and 7 marbles
= 0.80 + 16.10
= $16.90
(d)
Cost of 7 marbles more than 1 bead
= 16.10 - 0.80
= $15.30
Answer(s): (a) $2.30; (b) $16.10; (c) $16.90; (d) $15.30