Adam spends $14.90 on 2 beads and 3 stickers.
A bead costs $1.20 more than 1 sticker.
- How much does 1 bead cost?
- How much do 6 beads cost?
- How much do a sticker and 6 beads cost?
- How much do 6 beads cost more than 1 sticker?
(a)
Let the cheaper item be 1 u.
Cost of 1 sticker = 1 u
Cost of 1 bead = 1 u + 1.20
Total cost of 2 beads and 3 stickers
= 2(1 u + 1.20) + 3 u
= 2 u + 2.40 + 3 u
= 2 u + 3 u + 2.40
= 5 u + 2.40
5 u + 2.40 = 14.90
5 u = 14.90 - 2.40
5 u = 12.50
1 u = 12.50 ÷ 5 = 2.50
Cost of 1 bead
= 1 u + 1.20
= 2.50 + 1.20
= $3.70
(b)
Cost of 6 beads
= 6 x 3.70
= $22.20
(c)
Cost of 1 sticker and 6 beads
= 2.50 + 22.20
= $24.70
(d)
Cost of 6 beads more than 1 sticker
= 22.20 - 2.50
= $19.70
Answer(s): (a) $3.70; (b) $22.20; (c) $24.70; (d) $19.70