In a store, 2 pencils and 3 markers cost $17.60. Joseph bought 3 pencils and 4 markers at $24.50 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.
2 P + 3 M = 17.60 --- (1)
3 P + 4 M = 24.50 --- (2)
(2) - (1)
1 P + 1 M = 24.50 --- 17.60
1 P + 1 M = 6.90 --- (3)
Cost of 1 pencil and 1 marker = $6.90
(b)
(3)
x2 2 P + 2 M = 13.80 --- (4)
(1) - (4)
1 M = 17.60 - 13.80 = $3.80
Cost of 1 marker = $3.80
Answer(s): (a) $6.90; (b) $3.80