SOLUTION: It takes Akira 10 minutes to make a black and white drawing and 25 minutes for a color drawing. On Saturday he made a total of 9 drawings in 2 hours. Write and solve a system of eq
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Question 837598: It takes Akira 10 minutes to make a black and white drawing and 25 minutes for a color drawing. On Saturday he made a total of 9 drawings in 2 hours. Write and solve a system of equations to determine how many drawings of each type Akira make.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Units will be minutes and count of drawings or "count".
2 hours is 120 minutes.
x = how many b&w
y = how many color
Account for Drawings:
Account for Time:
Simplify the time account equation, dividing by 5.
System to Solve:
-------------------------
x+y=9
-------------------------
2x+5y=24
-------------------------
Elimination using 2 times the first equation: ;
Subtract this from the second equation.
, which will lead to .
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