Adam pays $49 for 2 beads and 3 stickers.
2 beads cost as much as 4 stickers.
- How much is 1 bead?
- How much is 1 sticker?
- How much is 4 stickers and 2 beads?
(a)
LCM of 2 and 4 = 4
Cost of 2 beads = 4 u
Cost of 1 bead = 4 u ÷ 2 = 2 u
Cost of 4 stickers = 4 u
Cost of 1 sticker = 4 u ÷ 4 = 1 u
Cost of 2 beads = 2 x 2 u = 4 u
Cost of 3 stickers = 3 x 1 u = 3 u
Total cost of 2 beads and 3 stickers
= 4 u + 3 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Cost of 1 bead
= 2 u
= 2 x 7
= $14
(b)
Cost of 1 sticker
= 1 u
= 1 x 7
= $7
(c)
Cost of 4 stickers and 2 beads
= 4 x 1 u + 2 x 2 u
= 4 u + 4 u
= 8 u
= 8 x 7
= $56
Answer(s): (a) $14; (b) $7; (c) $56