Math, asked by Akunkel8804, 7 months ago

Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

Answers

Answered by priyanka0506

$\huge{\overbrace{\underbrace{\pink{Q}\blue{U}\pink{E}\blue{S}\pink{T}\blue{I}\pink{O}\blue{N}}}}$

Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards

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$\huge\mathfrak\orange{Ans}\purple{wer}\red {♡♡♡}$

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Original cost of deck of cards = y $y - \frac{22}{10} \times y$

$\bf\purple{\implies\:y\: - \: 0.22y\:}$

$\bf\purple{\implies\:y\: * \: 1 \: - \: 0.22y}$ $\bf\purple{\implies\:0.78y}$

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Now you add the sales tax. You don't do that until a sale of any kind has been made.So you need to add on 6% to the number you already have

$☞0.78y + \frac{6}{100} \times 0.78y$

$☞0.78y + 0.06 \times 0.78y$

$☞0.78y + 0.0468y$

$\bf\purple{\implies\:0.8268}$

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Answered by amitnrw

Given: Jackson purchased a pack of game cards that was on sale for 22% off.

The sales tax in his county is 6%.

y represent the original price of the cards.

To Find : Write an expression that can be used to determine the final cost of the cards.

Solution:

Original price of cards = y

Discount / off = 22 %

Discount amount = (22/100)y = 0.22y

Price after discount = Price - Discount

= y - 0.22y

= 0.78y

sales tax = 6 %

Sale tax = (6/100)0.78y = 0.06 * 0.78y

Final cost = 0.78y + 0.06 * 0.78y

= 0.78y (1 + 0.06)

= 0.78y (1.06)

= 0.8268y

an expression that can be used to determine the final cost of the cards is:

0.78y (1.06) or 0.8268y

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