Banksnate66
Answered

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X=8 y=20 find y when x=42

Sagot :

smmwaite

Answer

y= 105

 

Explanation

X=8

Y=20

So,

x/y = 8/20

      = 2/5

x=(2/5)y

y= (5/2)x

When x=42

y=(5/2)×42

   =105

danielmaduroh

In this problem, we need to use the concept of proportions. Proportion says that two ratios (or fractions) are equal. So, we have two numbers, namely:

[tex] x=8 \ and \ y=20 [/tex]

So, the given proportion is:

[tex] \frac{x}{y}=\frac{8}{20} \\ \\ \therefore \frac{x}{y}=\frac{2}{5} [/tex]

That is, x-out-of-y is equal to 2-out-of-5

On the other hand, we know that [tex]x=42[/tex], so by using the previous proportion we have:

[tex] \frac{42}{y}=\frac{2}{5} \\ \\ Isolating \ y: \\ \\ y=\frac{42 \times 5}{2} \\ \\ y=\boxed{105} [/tex]

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