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Morgarella [4.7K]
3 years ago
6

A man can make 12 birdhouses in 8 hours. How many hours will it take him to make 30 birdhouses?

Mathematics
1 answer:
White raven [17]3 years ago
8 0
20 hours because he makes 6 birdhouses in 4 hours and 5*6=30 so you need to multiply 4 times 5 because you did it to the birdhouses and you get 20
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olga2289 [7]

Answer:

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Step-by-step explanation:

Let x,y,z denotes number of pencils, markers, erasers respectively.

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6x+7y+8z=15.75\,\,\,(i)

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6x+8y+5z=16.75\,\,\,(ii)

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Put y=1+3z in equation (iii)

5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

Put z=0.25 in equation y=1+3z

y=1+3(0.25)=1.75

Put y=1.75\,,\,z=0.25 in equation (i)

6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25

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Step-by-step explanation:

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