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pav-90 [236]
3 years ago
7

A pet shop manager wants the same number of birds in each cage. He wants to use as few as cages as possible , but can only have

one type of bird in each cage. If he has 42 parakeets and 18 canaries , how many birds will he put in each cage?
Mathematics
2 answers:
Serga [27]3 years ago
7 0

Answer: There are 7 parakeets and 3 canaries in each cage.

Step-by-step explanation:

Since we have given that

Number of parakeets = 42

Number of canaries = 18

According to question, he wants to use as few as cages as possible , but can only have one type of bird in each cage.

So, H.C.F. of 42 and 18 = 6

So, Number of cages would be 6.

Number of parakeets would be

\dfrac{42}{6}=7

Number of canaries would be

\dfrac{18}{6}=3

Hence, there are 7 parakeets and 3 canaries in each cage.

lana [24]3 years ago
3 0
He would use 3 cages for the canaries (6 in each) and 6 cages for the parakeets (7 in each)
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gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P=(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)=(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})

M(-3,12)=(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})

M(-3,12)=(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})

(-3)=\frac{(X2)-24}{5}

(-15)=X2-24

X2=9

(12)=\frac{(Y2)+56}{5}

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

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