Adam pays $19 for 5 beads and 2 stickers.
2 beads cost as much as 3 stickers.
- How much is 1 bead?
- How much is 1 sticker?
- How much is 5 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 5 beads = 5 x 3 u = 15 u
Cost of 2 stickers = 2 x 2 u = 4 u
Total cost of 5 beads and 2 stickers
= 15 u + 4 u
= 19 u
19 u = 19
1 u = 19 ÷ 19 = 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 5 stickers and 2 beads
= 5 x 2 u + 2 x 3 u
= 10 u + 6 u
= 16 u
= 16 x 1
= $16
Answer(s): (a) $3; (b) $2; (c) $16