Question

A 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.

Answer 1

Answer:

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