Question

The yearly deductible for John's health care plan decreased from $1250 to $1000. What is the percent decrease?

Answer 1

Answer:

20%

Step-by-step explanation:

1. We assume, that the number 1250 is 100% - because it's the output value of the task.  

2. I assume, that x is the value we are looking for.  

3. If 100% equals 1250, so we can write it down as 100%=1250.  

4. We know, that x% equals 250 of the output value, so we can write it down as x%=250.  

5. Now we have two simple equations:

1) 100%=1250

2) x%=250

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:

100%/x%=1250/250

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250 is what percent of 1250

100%/x%=1250/250

(100/x)*x=(1250/250)*x       - we multiply both sides of the equation by x

100=5*x       - we divide both sides of the equation by (5) to get x

100/5=x  

20=x  

x=20

now we have:  

250 is 20% of 1250