Afarmer saw some chickens and pigs in a field. he counted 60 heads and 176 legs. find out exactly how many chickens and how many pigs he saw. show your strategies and explain how you solved the problem.

Let's assume

number of chickens =c

number of pigs =p

He counted 60 heads

each pig has one head and each chicken has one head

so, we get equation

He counted  176 legs

Chicken has two legs

pigs has four legs

so, we get equation as

so, we get two equations as

we can eliminate any one variable from first equation and plug that in second equations and then we can solve for c and p

solve for c

plug this into second equation

now, we can solve for p

now, we can solve for c

so,

number of chickens are 32

number of pigs are 28...............Answer

step-by-step explanation:

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .