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.
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?
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.
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.