Question

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?

Answer 1

52

Explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate:
`x` ×
`(1+(1)/(4) )=65`

Apply Multiplicative Distribution Law:
`x+(x)/(4) =65`

Multiply both sides of the equation by the common denominator:
`x`×
`4+(x X4)/(4) =65 X 4`

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 =
`(260)/(5)`

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52