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# 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

Ronay R. | Effective Math tutoring from a ScientistEffective Math tutoring from a Scientist
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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...
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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?