Adam spends $15.30 on 4 beads and 5 stickers.
A bead costs $2.70 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 + 2.70
Total cost of 4 beads and 5 stickers
= 4(1 u + 2.70) + 5 u
= 4 u + 10.80 + 5 u
= 4 u + 5 u + 10.80
= 9 u + 10.80
9 u + 10.80 = 15.30
9 u = 15.30 - 10.80
9 u = 4.50
1 u = 4.50 ÷ 9 = 0.50
Cost of 1 bead
= 1 u + 2.70
= 0.50 + 2.70
= $3.20
(b)
Cost of 6 beads
= 6 x 3.20
= $19.20
(c)
Cost of 1 sticker and 6 beads
= 0.50 + 19.20
= $19.70
(d)
Cost of 6 beads more than 1 sticker
= 19.20 - 0.50
= $18.70
Answer(s): (a) $3.20; (b) $19.20; (c) $19.70; (d) $18.70