Answered

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A t-shirt increased in price by 1/4. After the increase, it was priced at £65. What was the original price of the t-shirt?

Sagot :

RevyBreeze

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

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