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purchase including tax

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by Xbond » Fri Aug 14, 2009 12:38 am
Hi there,

I would like to know the simplest process to resolve this PS. Explanation is requested.

Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount Connie paid for her purchase
including sales tax?

a) 368
b) 380
c) 400
d) 420
e) 432
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by tohellandback » Fri Aug 14, 2009 1:01 am
If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase

so 3 percent is 12 dollars
3x/100 =12
x=400
and the 8 dollars tax ..that is 32 dollrs

so she paid 432 dollars in total
answer E
The powers of two are bloody impolite!!
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by truplayer256 » Fri Aug 14, 2009 5:43 am
Connie's purchase= $x

.05(x)=.08(x)-12

-.03(x)=-12

x=400

400*1.08=432

E
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Re: purchase including tax

by shahdevine » Fri Aug 14, 2009 6:21 am
Xbond wrote:Hi there,

I would like to know the simplest process to resolve this PS. Explanation is requested.

Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount Connie paid for her purchase
including sales tax?

a) 368
b) 380
c) 400
d) 420
e) 432
p=purchase price
x=amount she paid plus sales tax

problem gives you two equations which you can solve by substitution or systems of equation.

x=1.08p and (x-12)=1.05p

x-1.05p=12
1.08p-1.05p=12
108p-105p=1200
3p=1200
p=400

400(1.08)=432 -->Answer E
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