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2 years ago

10

In yoga class, all of the students are lined up according to height. Andy notices that the number of students who are taller tha

n he is one-fourth the number of students who are shorter than he. Violetta notices that there are 3 times as many students who are taller than she than students who are shorter than she. How many students are in the class if there are fewer than 40 students?

1 answer:

hichkok12 [17]2 years ago

6 0

Answer:

The number of students in the class is 21

Step-by-step explanation:

The first thing to consider is Andy.

Let x be the number of students who are taller than Andy.

Then the number of the rest students, excluding Andy, is 4x, according to the condition.

So, the total number of students in the class is (x + 4x + 1), or 5x+1.

Next, consider Violetta.

Let y be the number of students who are shorter than Violetta.

Then the number of the rest students, excluding her, is 3y, according to the condition.

So, the total number of students in the class is (y + 3y + 1), or 4y+1.

We see, that the number of students in the class MINUS one is a multiple of 4 (four) and of 5 (five), at the same time.

So, the number of students in the class is EITHER 20+1 = 21 OR 40+1 = 41, if consider couple of minimal values.

But 41 is excluded by the condition, leaving a UNIQUE ANSWER:

The number of students in the class is 21.

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3 years ago

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Answer:

Hi There the correct answer is {x,y} = {-1,-10}

System of Linear Equations entered :

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Graphic Representation of the Equations :

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Solve by Substitution :

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3 years ago

One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

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Step-by-step explanation:

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Since the volume of second container is 55% larger than the first.

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$=\frac{8525}{10000}V$ cubic unit.

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Step-by-step explanation:

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