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Bunuel
If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

A. $1.08
B. $1.10
C. $1.16
D. $1.18
E. $1.20

Simple by using cross-multiplication Method,

\($12 ---- $0.66\)
\($20 ----- $x\)

\(x = $1.1\)
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niks18 Hatakekakashi

Where am I faltering in approximation here?

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=66/12 . . . . . (1)
which is slightly more than 66/11 which in simplified form is 6 . . . ..(2)
Since on comparing (1) with (2)
(1) is having higher denominator my fraction will be slightly smaller than (2)
So x could be closer to 5.8 or 5.9

Now closest value when multiplied with $20 which is closest to , but smaller than 6
gives final value as something just very close but smaller than 1.2, which is (D)
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adkikani
niks18 Hatakekakashi

Where am I faltering in approximation here?

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=66/12 . . . . . (1)
which is slightly more than 66/11 which in simplified form is 6 . . . ..(2)
Since on comparing (1) with (2)
(1) is having higher denominator my fraction will be slightly smaller than (2)
So x could be closer to 5.8 or 5.9

Now closest value when multiplied with $20 which is closest to , but smaller than 6
gives final value as something just very close but smaller than 1.2, which is (D)

Hi adkikani

why you need approximation here. Let's say sales tax is x%

so 12*x%=0.66 => x%=0.66/12

So sales tax on $20 will be 20*x%=20*0.66/12=1.1

You will get the answer directly. no need to approximate
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adkikani
niks18 Hatakekakashi

Where am I faltering in approximation here?

Let x be the sales tax rate.

$12*x/100= 0.66
Solving x=66/12 . . . . . (1)
which is slightly more than 66/11 which in simplified form is 6 . . . ..(2)
Since on comparing (1) with (2)
(1) is having higher denominator my fraction will be slightly smaller than (2)
So x could be closer to 5.8 or 5.9

Now closest value when multiplied with $20 which is closest to , but smaller than 6
gives final value as something just very close but smaller than 1.2, which is (D)

there is no need to approximate

try the unitary method

12 - 0.66
20 - ? (x)

x= \(\frac{20*0.66}{12}\) = \(\frac{10*0.66}{6}\) = 10x.11 = 1.1

approximate when there are no values given
hope this helps
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Bunuel
If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

A. $1.08
B. $1.10
C. $1.16
D. $1.18
E. $1.20

If we let n = the sales tax on the 20 dollar purchase, we can create a proportion and solve for n:

0.66/12 = n/20

20 x 0.66 = 12n

13.2 = 12n

13.2/12 = n

1.1 = n

Thus, the sales tax is $1.10.

Answer: B
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Bunuel
If the sales tax on a $12.00 purchase is $0.66, what is the sales tax on a $20.00 purchase?

A. $1.08
B. $1.10
C. $1.16
D. $1.18
E. $1.20

We can also solve this question using equivalent ratios

We're comparing sales tax to retail price
We get: sales tax/retail price = $0.66/$12.00

What is the sales tax on a $20.00 purchase?
Let x = the sales tax

We can write: $0.66/$12.00 = x/$20.00
Cross multiply to get: (0.66)(20) = (12)(x)
To make things easier, let's first divide both sides by 4 to get: (0.66)(5) = (3)(x)
Then divide both sides by 3 to get: (0.22)(5) = x
Evaluate: 1.10 = x

Answer: B

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