Question

6. Jessica bought a new suitcase. The sales tax was 4.5%. If the amount of
tax was $6.93, what was the cost of the suitcase? *

Answer 1

Answer:

$ 154

Step-by-step explanation

Let the value of suitcase=x

x × 4.5% = 6.93 (converted the question into equation)

x × $\frac{4.5}{100}$ = 6.93 (converted the percentage into fraction)

x = 6.93 x $\frac{100}{4.5}$ (took reciprocal of 4.5/100 after moving it to the other side of the equation)

x = $\frac{693}{4.5}$ (multiplied the values)

x = 154 $ (simplified the fraction)

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Answer 2

Answer:

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

$\frac{x}{100} =\frac{6.93}{4.5}$

And for this case the value of x represent the cost of the suitcase and solving we got:

$x= 100 \frac{6.93}{4.5}= 154$

Step-by-step explanation:

Let x the original cost and we also knwo that the tax is 4.5%.

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

$\frac{x}{100} =\frac{6.93}{4.5}$

And for this case the value of x represent the cost of the suitcase and solving we got:

$x= 100 \frac{6.93}{4.5}= 154$