Mathematics, 15.04.2020 01:35 nelly88

The only items in a container A are 150 pencils and 725 pens. The ratio of the number of pencils to the number of pens in container B is 2 to 3. If all the pencils and pens in container B are placed in container A, then the ratio of the number of pencils to the number of pens in container A would be 3 to 5. What is the total number of pencils and pens in both container A and container B?

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Answer from: tommyaberman

Therefore total number of pencils and pens in container A is 875.

Therefore total number of pencils and pens in container B is 7125.

Step-by-step explanation:

Given that,

Container A contains 150 pencils and 725 pens.

The ratio of number of the number of pencil to the number of pen in container B is 2:3.

Let the number of pencil and number of pencil in container B be 2x and 3x respectively.

Since all pencils and pen of container B are placed in container A.

So, the number pencil and pen in container A is (150+2x) and (725+3x) respectively.

Now the ratio of pencil to pen is

$=\frac{150+2x}{725+3x}$

According to the problem,

$\frac{150+2x}{725+3x}=\frac 35$

$\Rightarrow 5(150+2x)=3(725+3x)$

$\Rightarrow 750+10x=2175+9x$

$\Rightarrow 10x-9x=2175-750$

$\Rightarrow x=1475$

The number pencils in container B is = 2x

=(2×1475)

=2850

The number of pens in container B is = 3x

=(3×1475)

=4425

Therefore total number of pencils and pens in container A is =(150+725)

=875

Therefore total number of pencils and pens in container B is

=(2850+4425)

=7,125

Answer from: Quest

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

Answer from: Quest

your answer is c

step-by-step explanation:

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The only items in a container A are 150 pencils and 725 pens. The ratio of the number of pencils to...