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Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231

Sagot :

Complete Question:

Leslie placed this ad in Collector Car Monthly.

1957 Chevrolet Nomad station wagon. Tropical

Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,

rebuilt transmission, restored two-tone interior.

Mint! Moving, sacrifice, $52,900. 555-4231

(a) If the publication charges $48 for the first three lines and $5 for each extra  line, how much will this ad cost Leslie?  

(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?

(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?

Answer:

[tex]Total = \$53[/tex]

[tex]Ruth = \$48668[/tex]

[tex]Sales\ Tax = \$2920.08[/tex]

Step-by-step explanation:

Given

[tex]Ad = 4\ lines[/tex]

[tex]Charges: \$48[/tex] --- First 3 lines

[tex]Additional: \$5[/tex] -- Extra lines

Solving (a) : Determine the total charge

The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line

So, the total charge is calculated as:

[tex]Total = 3\ lines + 1\ line[/tex]

[tex]Total = \$48 + 1 * \$5[/tex]

[tex]Total = \$48 + \$5[/tex]

[tex]Total = \$53[/tex]

Solving (b): How much does Ruth pay?

From the ads, the price of the car is:

[tex]Price = \$52,900[/tex]

And Ruth pays 8% less.

This means that she pays 92% (i.e. 100% - 8% = 92%)

So, the calculation is:

[tex]Ruth = 92\% * Price[/tex]

[tex]Ruth = 92\% * \$52900[/tex]

[tex]Ruth = \$48668[/tex]

Solving (c): The sales tax

[tex]Sales\ Tax = Sales\ Tax\% * Amount\ Paid[/tex]

[tex]Sales\ Tax = 6\% * \$48668[/tex]

[tex]Sales\ Tax = \$2920.08[/tex]