Question

Iola has $75. she buys a pair of shoes on sale for one-half off and a pair of socks for $6. she has $32 left. which equation can be used to find x, the regular price of the shoes? x 6 32 = 75 x 6 = 32 one-half x 6 32 = 75 one-half x 32 = 75

Answer 1

The equation which is used to find x is (1/2)x + 6 + 32 = 75.

According to the given question.

The total amount of money lola have = $75

The regular price of the shoes is x.

But she buys the shoes on sale for one-half.

⇒ The price at which Lola bought the shoes = (1/2)x

The amount of money paid by Lola for shocks = $6

And,

After buying shoes and shocks the amount of money left = $32

So, by the given condtion we can form a equation which represents the whole scenario.

(1/2)x + 6 + 32 = 75

⇒ (1/2)x + 38 = 75

⇒ (1/2)x = 75 - 38

⇒ (1/2)x = 37

⇒ x = $74

⇒ The regular price of the shoes was $74.

Hence, the equation which is used to find x is (1/2)x + 6 + 32 = 75.

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