Adam pays $42 for 4 stickers and 2 beads.
3 stickers cost as much as 2 beads.
- How much is 1 sticker?
- How much is 1 bead?
- How much is 5 beads and 4 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 4 stickers = 4 x 2 u = 8 u
Cost of 2 beads = 2 x 3 u = 6 u
Total cost of 4 stickers and 2 beads
= 8 u + 6 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Cost of 1 sticker
= 2 u
= 2 x 3
= $6
(b)
Cost of 1 bead
= 3 u
= 3 x 3
= $9
(c)
Cost of 5 beads and 4 stickers
= 5 x 3 u + 4 x 2 u
= 15 u + 8 u
= 23 u
= 23 x 3
= $69
Answer(s): (a) $6; (b) $9; (c) $69