Answer:
If we divide 112 in the ratio of 5:11 we will obtain 35:77
Step-by-step explanation:
The first step we need to do is to sum the two numbers of the ratio.
The ratio is 5:11 ⇒ [tex]5+11=16[/tex]
The second step is to divide 112 by the number we just calculated ⇒
[tex]\frac{112}{16}=7[/tex]
We divided 112 in 16 equal parts that have a value of 7 each one.
Now, we need to know the value of 5 of this parts and of 11 of this parts.
We calculate this by multiplying this 5 parts per 7 and the 11 parts per 7 ⇒
[tex](5).(7)=35[/tex]
[tex](11).(7)=77[/tex]
We know that 5 parts are equal to 35 and 11 parts are equal to 77.
The final step is to replace this numbers in the expression of the ratio.
Finally, if we replace the values we obtain that 112 divided in the ratio of 5:11 is equal to 35:77
