When Jeremy made 8 black and white copies and 2 color copies at a copy shop, the cost was $1.20. When he made 10 black and white copies and 10 color copies, the cost was $3.00. How much do black and white copies cost?
Answers
Given:
When Jeremy made 8 black and white copies and 2 colour copies at a copy shop, the cost was $1.20.
When he made 10 black and white copies and 10 colour copies, the cost was $3.00.
To find:
How much do black and white copies cost?
Solution:
Let,
"x" → represents the cost of each black and white copy
"y" → represents the cost of each colour copy
So,
Equation1 ⇔ 8x + 2y = 1.20
Equation2 ⇔ 10x + 10y = 3.00
On multiplying equation1 by 10, we get
80x + 20y = 12 ↔ Equation3
On multiplying equation2 by 2, we get
20x + 20y = 6 ↔ Equation4
On subtracting equation3 and equation4, we get
80x + 20y = 12
20x + 20y = 6
- - -
----------------------
60x = 6
--------------------
∴ x =
Thus, the cost of each black and white copy is → $ 0.10.
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