Herman and jackie are saving money to pay for college. herman currently has $15,00 and is working hard to save $1000 per month. jackie only has $12,000 but is saving $1300 per month. in how many months will they haver the same amount of savings? how much will each of them have saved?

Part 1)

Part 2)

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

Herman

The slope is equal to

The y-intercept is

substitute

----> equation A

Jackie

The slope is equal to

The y-intercept is

substitute

----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

solve for x

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

equation B