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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.

A. what fraction of his paycheck went into each childs account?
B. If Bo deposited $400 in each childs account, how much money was in Bo's original paycheck?

User Wsamoht
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2 Answers

3 votes
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


User Roland Ewald
by
6.6k points
2 votes

Answer:

Bo's original paycheck is $3000.

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,
x-(1)/(2)went in bills.

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


(1)/(5)((1)/(2) ) =(1)/(10)

He put
(1)/(10) of x in savings

Adding the bill and remainder amount =
(1)/(2) +(1)/(0)

=
(5+1)/(10)=(6)/(10)

So, left amount was =
1-(6)/(10)=(10-6)/(10)=(4)/(10)=(2)/(5)

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


((2)/(5) )/(3) =(2)/(15)

Now, as given, Bo deposited $400 in 3 kids accounts. This gives
3*400=1200 in total in kids account.

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

So,
(2x)/(5)=1200


2x=6000

x = $3000

Hence, Bo's original paycheck is $3000.

User Originalhat
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