The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer 1

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.


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?
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?
?
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Answer:

12, 30, 36, 48

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2​

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false

Step-by-step explanation

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Answer:

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.........................

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Step-by-step explanation:

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Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Isabella paid more.

Step-by-step explanation:

$72/6 = $12.67

She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.

Answer:

Isabella has a greater ratio of dollars/lbs

Step-by-step explanation:

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Isabella paid $12/1 lb

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✍️Answer:

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Answer:

[tex] \: [/tex]

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Step-by-step explanation:

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∠ABC = 180° - 48°

∠ABC = 132°

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Answers

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

 

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Answer:

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Answer:

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Answers

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Step-by-step explanation:

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Free

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]

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