SOLUTION: Use a system of equations to model the situation and then solve by any method.
An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are
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An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are
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Question 947988: Use a system of equations to model the situation and then solve by any method.
An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra. How many string instruments are there? How many wind instruments?
A. 63 string instruments 28 wind instruments
B. 72 string instruments 19 wind instruments
C. 60 string instruments 31 wind instruments
D. 65 string instruments 26 wind instruments Answer by MathLover1(20850) (Show Source):
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given:
a ratio of to
there are string and wind instruments in the orchestra
let and ...eq.1
if there are string and wind instruments in the orchestra, we have
.......eq.2
solve the system
...eq.1........substitute in eq.2 .......eq.2
---------------------------------------
.......eq.2.................solve for
now go to ...eq.1........substitute for and solve for
so, there is:
string and wind instruments
