Ed spends 25 on three dvds each costing a whole number of do

Ed spends $25 on three dvds each costing a whole number of dollars. The first DVD costs more than twice the second, but less than three times the third; the second dvd costs more than the third. Find the cost of the third DVD.

Solution

Ed spends $25 on three dvds each costing a whole number of dollars

we are given

The first DVD costs more than twice the second, but less than three times the third; the second dvd costs more than the third

Let\'s assume cost of third DVD =x

second DVD cost > x

first DVD costs < 3x

let\'s assume

first DVD cost = x

second DVD cost =x

third DVD cost =3x

so, total cost = x+x+3x=5x

we are given total cost = $25

5x = 25

x=5

It means that cost of third DVD must be $5 .......Answer