1. We assume, that the number 9.375 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 9.375 is 100%, so we can write it down as 9.375=100%.
4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.
5. Now we have two simple equations:
1) 9.375=100%
2) x=7.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
9.375/x=100%/7.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 7.25% of 9.375
9.375/x=100/7.25
(9.375/x)*x=(100/7.25)*x - we multiply both sides of the equation by x
9.375=13.793103448276*x - we divide both sides of the equation by (13.793103448276) to get x
9.375/13.793103448276=x
0.6796875=x
x=0.6796875
now we have:
7.25% of 9.375=0.6796875
<span>It is also called order property of addition. This means that addends can be added in any order and the sum is always the same.</span>
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
