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Leona [35]
2 years ago
5

Mr and mrs Jackson have 14 grandchildren. Find the ratio of girls to boys if there are four more girls than boys

Mathematics
2 answers:
MrRa [10]2 years ago
8 0

Answer:

5:9

Step-by-step explanation:

One Simple Method:

We can plug in values that are reasonable, such as 5 and 9. 5 represents the amount of boys and 9 represents the amount of girls. There's four more girls than boys, adding up both terms there's a sum of 14 grandchildren.

Another Method:

using and creating an equation.

x represents boys

y represents girls

<u>Our equation for boys:</u>

x(x+4)=14

2x+4=14

<u>Subtract 4 from both sides</u>

2x=10

x=5

x=5 represents 5 boys.

Use x=5 in our equation for girls.

5+y=14

<u>Subtract 5 from both sides</u>

y=9

y=9 represents 9 girls.

natulia [17]2 years ago
6 0

Answer:

5 boys to 9 girls

Step-by-step explanation:

Let x = the number of boys

Boys = x

Girls = x + 4

x + (x + 4) = 14

2x + 4 = 14

2x = 10

x = 5

This means that there are 5 boys. Since girls = x + 4, 5 + 4 = 9. There are 5 boys and 9 girls.

I hope this helped and please mark me as brainliest!

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f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

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Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
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