Adam spends $16.90 on 2 beads and 3 marbles.
A bead costs $1.70 more than 1 marble.
- How much does 1 bead cost?
- How much do 6 beads cost?
- How much do a marble and 6 beads cost?
- How much do 6 beads cost more than 1 marble?
(a)
Let the cheaper item be 1 u.
Cost of 1 marble = 1 u
Cost of 1 bead = 1 u + 1.70
Total cost of 2 beads and 3 marbles
= 2(1 u + 1.70) + 3 u
= 2 u + 3.40 + 3 u
= 2 u + 3 u + 3.40
= 5 u + 3.40
5 u + 3.40 = 16.90
5 u = 16.90 - 3.40
5 u = 13.50
1 u = 13.50 ÷ 5 = 2.70
Cost of 1 bead
= 1 u + 1.70
= 2.70 + 1.70
= $4.40
(b)
Cost of 6 beads
= 6 x 4.40
= $26.40
(c)
Cost of 1 marble and 6 beads
= 2.70 + 26.40
= $29.10
(d)
Cost of 6 beads more than 1 marble
= 26.40 - 2.70
= $23.70
Answer(s): (a) $4.40; (b) $26.40; (c) $29.10; (d) $23.70