Answer:
a) 3 : 4
b) 4 : 3
c) 7 : 3
d) 4 : 7
Step-by-step explanation:
(just a side note: you can write ratios in fraction form as well!)
To find the ratio between boys to girls, we would write it like this:
180/240 or 180 : 240 or 180 to 240
Although that is right, that isn't simplified.
Thus, we need to find a common factor that both the numerator and denominator share!
180 and 240 are both divisible by 60!
180 ÷ 60 = 3
240 ÷ 60 = 4
Therefore, you would get a simplified ratio of 3 : 4! For every 3 boys. there are 4 girls!
For part b, you simply switch the 4 and 3 around so you get 4 : 3. For every 4 girls, there are 3 boys.
Now part c involves the total amount of students...
Basically, add the number of boys and the number of girls together, and you would get 420.
420 : 120 shows the amount of students there are to boys...but it is not in its simplest form!!
Like we did before, we have to find a common factor between the two...which is 60!
420 ÷ 60 = 7
120 ÷ 60 = 3
Thus, there are 7 students for every 3 boys (7 : 3)
Finally, part d! Simply the ratio:
420 : 240
Divide both by 60 and...
You get 4 :7! For every 4 girls, there are 7 students
Hope this helps! Let me know if you have any other questions :D
Answer:
(a) 3:4
(b) 4:3
(c) 7:3
(d) 4:7
Step-by-step explanation:
(a) 3:4
180:240 = 3:4 (after simplification)
(b) 4:3
240:180 = 4:3 (after simplification)
(c) 7:3
Total number of students = 240 + 180 = 420
420:180 = 7:3 (after simplification)
(d) 4:7
Total number of students = 240 + 180 = 420
240: 420 = 4:7 (after simplification)
