Adam pays $48 for 2 stickers and 3 beads.
2 stickers cost as much as 5 beads.
- How much is 1 sticker?
- How much is 1 bead?
- How much is 3 beads and 5 stickers?
(a)
LCM of 2 and 5 = 10
Cost of 2 stickers = 10 u
Cost of 1 sticker = 10 u ÷ 2 = 5 u
Cost of 5 beads = 10 u
Cost of 1 bead = 10 u ÷ 5 = 2 u
Cost of 2 stickers = 2 x 5 u = 10 u
Cost of 3 beads = 3 x 2 u = 6 u
Total cost of 2 stickers and 3 beads
= 10 u + 6 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Cost of 1 sticker
= 5 u
= 5 x 3
= $15
(b)
Cost of 1 bead
= 2 u
= 2 x 3
= $6
(c)
Cost of 3 beads and 5 stickers
= 3 x 2 u + 5 x 5 u
= 6 u + 25 u
= 31 u
= 31 x 3
= $93
Answer(s): (a) $15; (b) $6; (c) $93