How much in fact did the company spend producing electric guitars?

Question

A guitar manufacturer spent $114 million on the production of acoustic and electric guitars in 1999. If the amount the company spent producing acoustic guitars was $46 million more than it spent on producing electric guitars, how much in fact did the company spend producing electric guitars?

Answer 1

Solving for the following: How much in fact did the company spend producing electric guitars?

The amount the company spent producing electric guitars: $114,000,000

The amount the company spent producing acoustic guitars was $46 million more than it spent on producing electric guitars.

Step 1: Set up equations.

The total amount spent is the sum of the amounts spent on each type of guitar.

x + y = $114,000,000

The amount spent on acoustic guitars is $46,000,000 more has on electric guitar.

y = x + $46, 000, 000

Step 2: Solve the system of equations.

Substitute the second equation into the first equation.

x + (x + 46,000,000) = 114,000,000

Combine like terms.

2x + 46,000,000 = 114,000, 000

Subtract 46,000,000 from both sides.

2x = 114,000,000 - 46,000,000

2x = 68,000,000

Divide both sides by 2

x = 68,000,000 divided by 2

x = 34,000,000

Solution:

The company spent $34,000,000 on producing electric guitars.

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.