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kramer
2 years ago
6

A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $40, and the cost of ma

terials for a trail bike is $40. The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $30. During a week in which the company has budgeted $1,600 for materials and $2,700 for labor, how many mountain bikes does the company plan to manufacture?
Mathematics
1 answer:
Keith_Richards [23]2 years ago
6 0

An equation is formed when two equal expressions. The company is planning to produce 25 mountain bikes and 15 trail bikes.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of mountain bikes produced by the company be x, while the number of trail bikes produced by the company is y.

The cost of materials for a mountain bike is $40, and the cost of materials for a trail bike is $40. Also, the budget of the company is $1,600. Therefore,

1600 = 40x + 40y

x + y = 40

y = 40-x

The cost of labour to manufacture a mountain bike is $90, and the cost of labour to manufacture a trail bike is $30. Also, the budget for labour is $2,700.

2700 = 90x + 30y

2700 = 90x + 30(40-x)

2700 = 90x + 1200 - 30x

1500 = 60x

x = 25

Substitute the value of x,

y = 40 - x

y = 15

Hence, the company is planning to produce 25 mountain bikes and 15 trail bikes.


Learn more about Equation:

brainly.com/question/2263981

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