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atroni [7]
3 years ago
15

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 us

es 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 a b = 2,000 dawn has $ in account 1 and $ in account 2.
Mathematics
2 answers:
asambeis [7]3 years ago
8 0
1) name the variables:

 - amount in account 1 "a"
 - amount in account 2 "b"

2) trtanslate the statements into equations:

<span>- the difference between account 1 and account 2 is $100.

=> a - b = 100

-  if she uses 3/8 of account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000.

=> (3/8)a + (7/8)b = 2000

3) solve the system of equations

(1) a - b = 100
(2) (3/8)a + (7/8b) = 2000

Steps:

- multiply equation (1) by 7 and equaton (2) by 8

=>

(1) 7a - 7b = 700
(2) 3a + 7b = 16,000

- add the two equations

=>

7a + 3a - 7b + 7b = 700 + 16,000

- combine like terms:

10a = 16,700

- divide by 10:

a = 16,700 / 10 = 1670

- use equation (1) to find b:

a - b = 100 => b = a - 100 = 1670 - 100 = 1570

Answer: Dawn has $ 1670 in account 1 and $ 1570 in account 2. </span>
Alinara [238K]3 years ago
7 0

Answer: Dawn has $1670 in account 1 and $1570 in account 2.

hope this is helpful (:

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3 years ago
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2 years ago
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Step-by-step explanation:

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7 0
3 years ago
when you solve a problem by working backward, what does your answer represent? how can you check your answer?
Rus_ich [418]
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You can work backwords to check to see if your awnser is right.

When you work backwards you do the opposite of what you are doing, so if your adding the opposite would be subtracting, and if your multiplying than the opposite would be dividing.

So you could work it out like this:

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3 years ago
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