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slamgirl [31]
3 years ago
8

The Capulet and Montague families love writing. Last year, each Capulet wrote 4 essays, each Montague wrote 6 essays, and both f

amilies wrote 100 essays in total. This year, each Capulet wrote 8 essays, each Montague wrote 12 essays, and both families wrote 200 essays in total. How many Capulets and Montagues are there?
Mathematics
2 answers:
Eduardwww [97]3 years ago
6 0

Answer:

Infinite solution

Step-by-step explanation:

Let, number of Capulet family = x and number of Montague family = y.

Since, last year, each Capulet wrote 4 essays and each Montague wrote 6 essays.

Moreover, total essays wrote last year are 100.

So, we get, 4x + 6y = 100.

Again, this year, each Capulet wrote 8 essays and each Montague wrote 12 essays.

Moreover, total essays wrote this year are 200.

So, we get, 8x + 12y = 200.

Thus, the system of equations is given by,

4x + 6y = 100.

8x + 12y = 200.

Dividing first equation by 2 and second equation by 4, we get the equation,

2x + 3y = 50.

Since, there is only one equation and two variables i.e. x and y.

There can be infinite number of possibilities for the values of x and y.

Rina8888 [55]3 years ago
6 0

Answer:

Khan Academy says There is not enough information to determine the exact number of Capulets and Montagues

Step-by-step explanation:

Khan Academy saysss sooooo

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Answer:

Step-by-step explanation:

Here you go mate

Step 1

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Step 2

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Step 3

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5 0
2 years ago
. A survey of 30 students is taken. 11 students say that mathematics is their favorite subject. Based on this survey, how many s
Sveta_85 [38]
Ok, so based on a survey - you know that out of 30 students, 11 said that their favourite subject is mathematics. :-)

This means that:

11/30 of these students think mathematics if their favourite subject.

Now, in order to answer your question, we are going to have to change the denominator of the fraction above to 1000. Whatever we do to the denominator of this fraction, we must do to the numerator of this fraction.

Example:

\frac { 11 }{ 30 } \times \frac { \frac { 1000 }{ 30 }  }{ \frac { 1000 }{ 30 }  } \\ \\ =\frac { \frac { 11000 }{ 30 }  }{ 1000 } \\ \\ =\frac { 366.\dot { 6 }  }{ 1000 }

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7 0
3 years ago
Read 2 more answers
Tinas rent will increase from $595 this year to $708 next year what is the percent change to the nearest percent
snow_lady [41]

Answer:

The answer rounded to the nearest percent is 19%.

Step-by-step explanation:

The formula for percent change is this:

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((702 - 595) / 595)*100

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That is our solution.

<em>And that's an awfully small amount of rent to pay (at least in California).</em>

4 0
2 years ago
Read 2 more answers
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