Help Solve the following math

[Bruno_]

There are 364 first grade students in san juan national highschool. If there are 26 more girls than boys, how many girls are there

 

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Let's assume the number of boys in the first grade is x. According to the problem, the number of girls is 26 more than the number of boys, so the number of girls can be expressed as x + 26.

Since the total number of students is 364, we can set up an equation:

x + (x + 26) = 364

Combining like terms:

2x + 26 = 364

Subtracting 26 from both sides:

2x = 364 - 26

2x = 338

Dividing both sides by 2:

x = 338 / 2

x = 169

So, there are 169 boys in the first grade.

To find the number of girls, we can substitute the value of x back into the equation:

x + 26 = 169 + 26 = 195.

Therefore, there are 195 girls in the first grade.

 

[Bruno_]

Let's assume the number of boys in the first grade is x. According to the problem, the number of girls is 26 more than the number of boys, so the number of girls can be expressed as x + 26.

Since the total number of students is 364, we can set up an equation:

x + (x + 26) = 364

Combining like terms:

2x + 26 = 364

Subtracting 26 from both sides:

2x = 364 - 26

2x = 338

Dividing both sides by 2:

x = 338 / 2

x = 169

So, there are 169 boys in the first grade.

To find the number of girls, we can substitute the value of x back into the equation:

x + 26 = 169 + 26 = 195.

Therefore, there are 195 girls in the first grade.

If two ladders are placed end to end, their combine height is 31.5 feet. One ladder is 6.5 feet shorter than other ladders. What are the heights of two ladders?

 

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If two ladders are placed end to end, their combine height is 31.5 feet. One ladder is 6.5 feet shorter than other ladders. What are the heights of two ladders?

Let's assume the height of the taller ladder is x feet. According to the problem, the other ladder is 6.5 feet shorter, so its height can be expressed as (x - 6.5) feet.

When the two ladders are placed end to end, their combined height is 31.5 feet. Therefore, we can set up an equation:

x + (x - 6.5) = 31.5

Combining like terms:

2x - 6.5 = 31.5

Adding 6.5 to both sides:

2x = 31.5 + 6.5

2x = 38

Dividing both sides by 2:

x = 38 / 2

x = 19

So, the height of the taller ladder is 19 feet.

To find the height of the shorter ladder, we can substitute the value of x back into the equation:

x - 6.5 = 19 - 6.5 = 12.5

Therefore, the height of the shorter ladder is 12.5 feet.

 

[Bruno_]

Let's assume the height of the taller ladder is x feet. According to the problem, the other ladder is 6.5 feet shorter, so its height can be expressed as (x - 6.5) feet.

When the two ladders are placed end to end, their combined height is 31.5 feet. Therefore, we can set up an equation:

x + (x - 6.5) = 31.5

Combining like terms:

2x - 6.5 = 31.5

Adding 6.5 to both sides:

2x = 31.5 + 6.5

2x = 38

Dividing both sides by 2:

x = 38 / 2

x = 19

So, the height of the taller ladder is 19 feet.

To find the height of the shorter ladder, we can substitute the value of x back into the equation:

x - 6.5 = 19 - 6.5 = 12.5

Therefore, the height of the shorter ladder is 12.5 feet.

State the next two figures in the series
7, 77, 777, 7777, 77777,

 

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State the next two figures in the series
7, 77, 777, 7777, 77777,

The given series appears to be an increasing sequence of numbers where each term is formed by repeating the digit 7 a certain number of times.

To determine the next two figures in the series, we can observe the pattern:

• The first term is 7 (one 7).
• The second term is 77 (two 7's).
• The third term is 777 (three 7's).
• The fourth term is 7777 (four 7's).
• The fifth term is 77777 (five 7's).

Based on this pattern, the next terms in the series would be:

• The sixth term: 777777 (six 7's).
• The seventh term: 7777777 (seven 7's).

Therefore, the next two figures in the series are 777777 and 7777777.