Question

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. plzzzz helllppp me need asssaaapppp

Answer 1

Caitlin is correct. The difference is 24 years.

Now, the proportion between Mandy's and Sandy' ages is:

=

5m = 2s

s = 2.5m

In 8 years, the proportion between their ages will be:

=

2(m + 8) = s + 8

2m + 16 = s + 8

2m + 8 = s

Substituting s = 2.5m:

2m + 8 = 2.5m

m = 16

s = 2.5m, so s = 2.5(16) = 40

So Mandy's present age is 16 years and Sandy's present age is 40. The difference in their present ages is 40 - 16 = 24 years.

Explanation:

used this for my test and it was right

Answer 2

~Hello There!~

`(m)/(s) =(2)/(5)`

Rearrange for s

`s = (5m)/(2)`

After 8 years, the new equation would be:

`(m+8)/(s+8) =(1)/(2)`

Cross multiply

`2m+16 = s+8`

Subtract 8

`2m+8=s`

Substitute old equation

`2m+8 = (5m)/(2)`

Solve to get m as 16.

s = 40.

Their current ages are 16 and 40 and the different is 24 years. Therefore, Caitlin is correct.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤