The fence is 106 meters long. Each section of fence is 3 meters long. How many sections were needed to complete the fence?
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Answer:
Step-by-step explanation:
ΔJKL ~ ΔMNP
So, the sides of both of the triangles are proportional.
Taking proportionality of their sides.
=>
Cross Multiplying
20 * 30 = 25(4x-4)
600 = 100x - 100
Adding 100 to both sides
600+100 = 120x
700 = 100x
Dividing both sides by 100
700/100 = x
x = 7
1080 clothespins makes 90 chairs and we need to find out how many clothespins it takes to make 1 chair.
We can set up a proportion of the number of chairs to the number of clothespins because of the proportional relationship.
x is the number of clothes pins for 1 chair
Cross multiply to get
90*x= 1080*1
Divide both sides by 90 to isolate x
x = 12 clothespins
It takes 12 clothespins to make 1 chair.