Question

A game decreased in price by 2/3. After the reduction it was priced at £13. What was the original price of the game?​

Answer 1

£19.50

Explanation:

let x be the original price , then

`(2)/(3)` x = 13 ( multiply both sides by 3 to clear the fraction )

2x = 39 ( divide both sides by 2 )

x = 19.5

original price of game was £19.50

Answer 2

`x = 39`

Explanation:

Based on the given conditions, write:
`x=(13)/(1-(2)/(3))`

Find common denominator and write numerators above common denominator:
`x=((13)/(3-2) )/(3)`

Calculate the sum or difference:
`x=((13)/(1) )/(3)`

Divide the fraction by multiplying its reciprocal:
`x=13*3`

Calculate the product or quotient:
`x=39`

Answer:
`x=39`