Search
Ask a question
0

Guitar Manufacturer

A guitar manufacturer spent $89 million on the production of acoustic and electric guitars in 1999. If the amount the company spent producing acoustic guitars was $50 million more than it spent on producing electric guitars, how much in fact did the company spend producing electric guitars?

2 Answers by Expert Tutors

Tutors, sign in to answer this question.
Ronay R. | Effective Math tutoring from a ScientistEffective Math tutoring from a Scientist
5.0 5.0 (2 lesson ratings) (2)
0
Let's say the manufacturer spent $X million in production of acoustic guitars and $Y million for electric guitars in 1999. so the total is X + Y = 89. This is the first equation. 
 
We know that the company spent producing acoustic guitars was ?$50 million more than it spent on producing electric? guitars. From here we can write down the second equation as: X = Y + 50.
 
let's write both equations as follow:
 
X + Y = 89
X= Y + 50
 
Let's replace X in the first equation with "Y+50", so we can calculate the value of Y:
 
Y+50 +Y= 89
2Y+50 = 89
2Y + 50 -50 = 89-50
2Y = 39
2Y/2 = 39/2
Y = 19.5 (company spent $19.5 million in production of electric guitars in 1999). 
X = Y + 50 = $19.5 +$50 =$69.5 (company spent $69.5 million in production of acoustic guitars in 1999). 
 
Don L. | Fifteen years teaching and tutoring basic math skills and algebraFifteen years teaching and tutoring basi...
5.0 5.0 (1 lesson ratings) (1)
0
Hi A, let x represent the amount spent producing electric guitars. Then the amount spent producing acoustic guitars was x + 50 (million.) Set up an equation and solve.
 
x + (x + 50) = 89
 
Solve for x:
 
x + x + 50 = 89
 
2x + 50 = 89
 
Subtract 50 from both sides:
 
2x = 39
 
Divide both sides by 2:
 
x = 19.5
 
The company spent 19.5 million producing electric guitars.
 
Questions?