At school , the ratio for pencils to pens in class is 2:6. If there are 88 students , how many used pencils and how many used pens ?
2x+6x = 88
Find x, and then 2x, 6x
thank you
Robby Gang haha
To find out how many students used pencils and how many used pens, we first need to determine the total number of parts in the ratio.
The ratio given is 2:6, which means there are 2 parts for pencils and 6 parts for pens. To simplify the ratio, we divide both parts by their greatest common divisor, which is 2 in this case.
Dividing 2 by 2 gives us 1, and dividing 6 by 2 gives us 3. Therefore, the simplified ratio is 1:3, which means there is 1 part for pencils and 3 parts for pens.
Next, we add the parts of the ratio together to find the total number of equal parts: 1 + 3 = 4.
Since there are 88 students in total, we can divide the number of students by the total number of parts in the ratio to find the number of students per part.
Dividing 88 by 4 gives us 22. Therefore, each part of the ratio represents 22 students.
Finally, we can multiply the number of parts by the number of students per part to find the number of students who used pencils and pens.
For pencils: 1 part * 22 students per part = 22 students.
For pens: 3 parts * 22 students per part = 66 students.
So, there are 22 students who used pencils and 66 students who used pens in the class.