There are 77 students in the student council. the ratio of girls to boys 7: 4. how many girls are there? what is the ratio of girls to students?

There are 49 girls and 28 boys. There are 77 total students as stated in the question and 49 so the ratio of girls students is 49:77. However this is not simplified so to do so you need to find the LCM (Lowest common multiple) list the multiples and you will find the lowest is 7 so the new ratio is 9:11.

Start by increasing the ratio of girls to boys.

Ex. Multiply 7 by 2, and multiply 4 by 2.
7:4 will equal 14:8.

If you multiply the numerator by a number, you must multiply the denominator by that same number in order to keep the ratio proportional. Thus, 14:8 is just a non-simplified version of 7:4. but it's the same ratio.

Keep increasing the numbers until you reach 7. Or, you could just do it immediately.
Ex. Multiply 7 by 7, and multiply 7 by 4.
7:4 will equal 49:28.

Thus, there are 49 girls and 28 boys, as said in the question. So, that answers the first part of the question, but in order to write a ratio of girls to students, we simply put the number of girls, 49, in front of the number of total students in the council, 77.

You will get 49:77 as the ratio of girls to students.

9/12 is the answer because 3/4 times 3 each is 9/12