Dawn has been using two bank accounts to save money for a car. The difference between account 1 and account 2 is $100. If she uses 3/8 of account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000. Solve the system of equations to find the total amount of money Dawn has in each account. A – B = 100 Three-eighthsA + Seven-eighthsB = 2,000 Dawn has $ in account 1 and $ in account 2.

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Answer

Dawn has $1670 in account 1 and $1570 in account 2

Explanation

Let  be the amount of money in account 1

Let  be the amount of money in account 2

We know from our problem that  the difference between account 1 and account 2 is $100, so:

equation (1)

We also know that if she uses 3/8 of account 1 and 7/8 of account 2, dawn will have a down payment of $2,000, so:

equation (2)

Now let's solve our system of equations (1) and (2) step by step:

Step 1. Solve for  in equation (1)

equation (3)

Step 2. Replace equation (3) in equation (2) and solve for

equation (4)

Step 3. Replace equation (4) in equation (3)

Dawn has $1670 in account 1 and $1570 in account 2

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