In a stationery shop, 3 pencils and 4 markers cost $17.50. Joseph bought 4 pencils and 5 markers at $22.60 from the book shop.
- Find the cost of 1 pencil and 1 marker.
- What was the cost of 1 marker?
(a)
Let 1 pencil be 1 P.
Let 1 marker be 1 M.
3 P + 4 M = 17.50 --- (1)
4 P + 5 M = 22.60 --- (2)
(2) - (1)
1 P + 1 M = 22.60 --- 17.50
1 P + 1 M = 5.10 --- (3)
Cost of 1 pencil and 1 marker = $5.10
(b)
(3)
x3 3 P + 3 M = 15.30 --- (4)
(1) - (4)
1 M = 17.50 - 15.30 = $2.20
Cost of 1 marker = $2.20
Answer(s): (a) $5.10; (b) $2.20