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

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): You can put this solution on YOUR website!

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

RELATED QUESTIONS
Use a system of equations to model the situation and then solve by any method. An (answered by MathLover1,MathTherapy)

I need some help with this please!: A local pizzeria sells a small pizza with one topping (answered by josmiceli)

Formulate a system of equations that represents a situation in a school. Describe the... (answered by fractalier)

fifteen band members from a school were selected to play in the state orchestra. twice as (answered by lwsshak3)

BREAK- PROBLEMS A Hockey Association would like to rent a banquet hall for dinner. They... (answered by solver91311)

A purse contains 40 nickels and dimes. If the total value is $3.25, find out how many of... (answered by ikleyn)

Use the Substitution method to solve the system of equations. (answered by checkley77)