Adam pays $17 for 3 beads and 4 stickers.
2 beads cost as much as 3 stickers.
- How much is 1 bead?
- How much is 1 sticker?
- How much is 3 stickers and 2 beads?
(a)
LCM of 2 and 3 = 6
Cost of 2 beads = 6 u
Cost of 1 bead = 6 u ÷ 2 = 3 u
Cost of 3 stickers = 6 u
Cost of 1 sticker = 6 u ÷ 3 = 2 u
Cost of 3 beads = 3 x 3 u = 9 u
Cost of 4 stickers = 4 x 2 u = 8 u
Total cost of 3 beads and 4 stickers
= 9 u + 8 u
= 17 u
17 u = 17
1 u = 17 ÷ 17 = 1
Cost of 1 bead
= 3 u
= 3 x 1
= $3
(b)
Cost of 1 sticker
= 2 u
= 2 x 1
= $2
(c)
Cost of 3 stickers and 2 beads
= 3 x 2 u + 2 x 3 u
= 6 u + 6 u
= 12 u
= 12 x 1
= $12
Answer(s): (a) $3; (b) $2; (c) $12