The company can produce 20 desktop keyboards and 10 laptop keyboards
Step-by-step explanation:
A company manufactures keyboards for desktop and laptop computers
- The desktop keyboard contains 105 keys
- The laptop keyboard has 90 keys
- The company has 3000 keys
- The company needs to produce twice as many desktop keyboards as laptop keyboards
We need to find how much of each type the company can produce
Assume that the company can produce x desktop keyboards and
y laptop keyboards
∵ The company can produce x desktop keyboards
∵ company can produce y laptop keyboards
∵ The desktop keyboard contains 105 keys
∵ The laptop keyboard has 90 keys
∵ The company has 3000 keys
- Write an equation to represent the total keys
∴ 105 x + 90 y = 3000 ⇒ (1)
∵ The company needs to produce twice as many desktop keyboards
as laptop keyboards
∴ x = 2 y ⇒ (2)
Substitute x in equation (1) by equation (2)
∵ 105(2 y) + 90 y = 3000
∴ 210 y + 90 y = 3000
∴ 300 y = 3000
- Divide both sides by 300
∴ y = 10
∴ The company can produce 10 laptop keyboards
Substitute the value of y in equation (2) to find the value of x
∵ x = 2(10)
∴ x = 20
∴ The company can produce 20 desktop keyboards
The company can produce 20 desktop keyboards and 10 laptop keyboards
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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