SOLUTION: The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages? Caitlin says the difference

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages? Caitlin says the difference      Log On


   

Question 1080263: The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages?
Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
m, Mandy
s, Sandy

system%28m%2Fs=2%2F5%2C%28m%2B8%29%2F%28s%2B8%29=1%2F2%29

2%28m%2B8%29=s%2B8
2m%2B16=s%2B8
s=2m%2B16-8
s=2m%2B8
-
m%2F%282m%2B8%29=2%2F5
5m=2%282m%2B8%29
5m=4m%2B16
highlight_green%28m=16%29
-
s=2%2A16%2B8
s=32%2B8
highlight_green%28s=40%29


AGE DIFFERENCE:
s-m
40-16
highlight%2824%29