Question

Nata spent $28 on 2 DVDs. At this rate, how much would 5 cost? At what rate did she spend her money

Answer 1

$14 dollars for each cd and if she buys 5 it's $70

Answer 2

we know that

Nata spent
`\$28` on
`2` DVDs

so

by proportion

Find the cost of
`5` DVDs

`(28)/(2) (\$)/(DVD) =(x)/(5) (\$)/(DVD)\\ \\2*x=28*5\\ \\x=28*5/2\\ \\x=\$70`

therefore

The answer Part a) is

The cost of
`5` DVDs is
`\$70`

Part b) Find the unit rate

we know that

Unit Rate is the ratio of two measurements in which the second term is
`1`

so

Find the cost of
`1` DVDs

`(28)/(2) (\$)/(DVD) =(x)/(1) (\$)/(DVD)\\ \\2*x=28\\ \\x=28/2\\ \\x=\$14`

therefore

the unit rate is
`14(\$)/(DVD)`

The answer Part b) is

Nata spent her money at the rate
`14(\$)/(DVD)`