Adam pays $21 for 3 stickers and 5 beads.
3 stickers cost as much as 2 beads.
- How much is 1 sticker?
- How much is 1 bead?
- How much is 3 beads and 5 stickers?
(a)
LCM of 3 and 2 = 6
Cost of 3 stickers = 6 u
Cost of 1 sticker = 6 u ÷ 3 = 2 u
Cost of 2 beads = 6 u
Cost of 1 bead = 6 u ÷ 2 = 3 u
Cost of 3 stickers = 3 x 2 u = 6 u
Cost of 5 beads = 5 x 3 u = 15 u
Total cost of 3 stickers and 5 beads
= 6 u + 15 u
= 21 u
21 u = 21
1 u = 21 ÷ 21 = 1
Cost of 1 sticker
= 2 u
= 2 x 1
= $2
(b)
Cost of 1 bead
= 3 u
= 3 x 1
= $3
(c)
Cost of 3 beads and 5 stickers
= 3 x 3 u + 5 x 2 u
= 9 u + 10 u
= 19 u
= 19 x 1
= $19
Answer(s): (a) $2; (b) $3; (c) $19