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Bo paid bills with 1/2 of his paycheck snd put 1/5 of the remainder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 children.

Awhat fraction of his paycheck went into each childs account?
BIf Bo deposited $400 in each childs account, how much money was in Bo's original paycheck?

Verified Answer :

texaschic101

1/2 + 1/5(1/2) = 1/2 + 1/10 = 5/10 + 1/10 = 6/10....this leaves 4/10 (reduces to 2/5) for his children.

(2/5) / 3 = 2/5 1/3 = 2/15 for each child <== A

400 in each childs account.....thats (400 3) = 1200 ...
2/5 of what is 1200 =
2/5x = 1200
x = 1200 * 5/2
x = 6000/2
x = 3000 <== B

check...
total pay is 3000
1/2 for bills.....- 1500
1/5(-1500) = -1500/5 = -300 ....for savings
3000 - (1500 + 300) = 3000 - 1800 = 1200...remaining for the children
1200/3 = 400 ...for each child.

so ur answers are :
A. 2/15 in each childs account
B. original paycheck = $ 3000

Answer:

Bo's original paycheck is $3000.

Step-by-step explanation:

Bo paid bills with 1/2 of his paycheck and put 1/5 of the remainder in savings.

The rest of his paycheck he divided equally among the college accounts of his 3 children.

Let his earnings be x

So, @@MATH_TOKEN_0@@went in bills.

And he put 1/5 of the remainder in savings.

@@MATH_TOKEN_1@@

He put @@MATH_TOKEN_2@@ of x in savings

Adding the bill and remainder amount = @@MATH_TOKEN_3@@

= @@MATH_TOKEN_4@@

So, left amount was = @@MATH_TOKEN_5@@

This 2/5 was divided equally among 3 kids making it :

@@MATH_TOKEN_6@@

Now, as given, Bo deposited $400 in 3 kids accounts. This gives \(3\times400=1200\) in total in kids account.

We know $1200 is 2/5 of total income or x

So, @@MATH_TOKEN_8@@

@@MATH_TOKEN_9@@

x = $3000

Hence, Bo's original paycheck is $3000.

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