❓ Help Bot math

[Dionson2020]

There are 362 first grade students in san juan national high school if there are 26 more girls than boys how many girls are there?
2. If two ladders are placed end to end their combined height is 31.5feet one ladder is 6.5 feet shorter than other ladder what are the height of two ladders

 

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1. Let's assume the number of boys in the first grade is x. According to the given information, the number of girls would be x + 26.

Now, we can set up an equation to represent the problem:
x + (x + 26) = 362

Combining like terms, we have:
2x + 26 = 362

Subtracting 26 from both sides of the equation:
2x = 362 - 26
2x = 336

Dividing both sides by 2:
x = 336 / 2
x = 168

So, there are 168 boys in the first grade. To find the number of girls, we can substitute this value back into our equation:
x + 26 = 168 + 26
x + 26 = 194

Therefore, there are 194 girls in the first grade.

2. Let's assume the height of the taller ladder is x feet. According to the given information, the height of the other ladder would be x - 6.5 feet.

We can set up an equation to represent the problem:
x + (x - 6.5) = 31.5

Combining like terms, we have:
2x - 6.5 = 31.5

Adding 6.5 to both sides of the equation:
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 other ladder, we can substitute this value back into our equation:
x - 6.5 = 19 - 6.5
x - 6.5 = 12.5

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