Math, asked by ashlys4013, 3 months ago

A store has a 25% off sale on coats. With this discount, the price of one coat is 34.50. what is the original price of the coat?

Answers

Answered by kajalmukharjeeadps
0

Answer:

46

Step-by-step explanation:

store has a 25\%25%25, percent off sale on coats. With this discount, the price of one coat is \$34.50$34.50dollar sign, 34, point, 50.

What is the original price of the coat?

1 / 6

The discount is 25\%25%25, percent, so the discounted cost represents the original price (100\%)(100%)left parenthesis, 100, percent, right parenthesis minus the discount (25\%)(25%)left parenthesis, 25, percent, right parenthesis.

100\%-25\%=75\%100%−25%=75%100, percent, minus, 25, percent, equals, 75, percent

The discounted price of \$34.50$34.50dollar sign, 34, point, 50 is 75\%75%75, percent of the original price.

Hint #22 / 6

To find the original price, first we need to answer, \$\greenD{34.50}$34.50dollar sign, start color #1fab54, 34, point, 50, end color #1fab54 is \blueD{75}\%75%start color #11accd, 75, end color #11accd, percent of what number?

Hint #33 / 6

Percent means per hundred, so \blueD{75}\%75%start color #11accd, 75, end color #11accd, percent is equivalent to \blueD{\dfrac{75}{100}}

100

75

start color #11accd, start fraction, 75, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{75 \div 100}75÷100start color #11accd, 75, divided by, 100, end color #11accd.

\blueD{75 \div 100 = 0.75}75÷100=0.75start color #11accd, 75, divided by, 100, equals, 0, point, 75, end color #11accd

Hint #44 / 6

To find the original price, we need to know \blueD{0.75}0.75start color #11accd, 0, point, 75, end color #11accd times what number equals \greenD{34.50}34.50start color #1fab54, 34, point, 50, end color #1fab54.

\blueD{0.75} \maroonD{x} = \greenD{\$34.50}0.75x=$34.50start color #11accd, 0, point, 75, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 34, point, 50, end color #1fab54

Hint #55 / 6

\begin{aligned} \blueD{0.75} \maroonD{x} &= \greenD{\$34.50} \\\\ \dfrac{\blueD{0.75} \maroonD{x}}{\blueD{0.75}} &= \dfrac{\greenD{\$34.50}}{\blueD{0.75}} \\\\ \maroonD{x} &= \maroonD{46} \end{aligned}

0.75x

0.75

0.75x

x

=$34.50

=

0.75

$34.50

=46

Hint #66 / 6

The original price of the coat is \$\maroonD{46}$46dollar sign, start color #ca337c, 46, end color #ca337c.

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