Cent Copy
How do translate into a system of equations?
colored copies cost 10 cents per copy and white copies cost 5 cents a copy. Sandy made 400 copies, some of with were colored and the rest white. Her total was $22.50.
how many colored copies and how many white copies did she make?
Let c be the number of colored copies and w be the number of white copies. There was a total of 400 copies made, some of them colored and some of them white, which brings us to the first equation: c + w = 400. Next you move onto the money. For each colored copy, it costs 10 cents, so the total colored copies cost is 0.1c. Likewise, the total white copies cost is 0.05w. They add up to $22.50, so 0.1c + 0.05w = 22.5. So now you have your two equations:
c + w = 400
0.1c + 0.05w = 22.5
Solve by substitution. First solve for one of the variables in one of the equations:
c + w = 400
c = 400 – w
Substitute 400 – w for c in the other equation:
0.1c + 0.05w = 22.5
0.1(400 – w) + 0.05w = 22.5
40 – 0.1w + 0.05w = 22.5
40 – 0.05w = 22.5
-0.05w = -17.5
w = 350
c = 400 – w
c = 400 – 350
c = 50
ANSWER: 50 colored copies; 350 white copies
Right There – Nicole Scherzinger ft. 50 Cent (Lyrics)
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