a cabinet shop produces two types of custom made cabinets. If the price of one type of cabinet is four times the price of the other, and the total price for one of each type of cabinet is $4,150, what is the price of each cabinet

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Answer:

Step-by-step explanation:

X+4X=4150

5X=4150

X=830

4(830) = 3320

Prices are $830 and $3320

By using given linear equation of one variable, prices of two types of custom made cabinets are $830 and $3320.

What is linear equation in one variable?

"Linear equation in one variable is the equation which can be written in the form of ax + b = 0, where a and b are real-number constants and a ≠ 0."

According to the question

Total price for one of each type of cabinet = $4,150

Let X be the price of one type of cabinet

We have

The price of one type of cabinet is four times the price of the other cabinet

Converting into mathematical equation

X+4X=4150

⇒ 5X=4150

⇒ X=830

Price of another type of cabinet

4X = 4(830) = 3320

Prices are $830 and $3320.

Hence, prices of two types of custom made cabinets are $830 and $3320.

Learn more about linear equation here

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