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

we know that

Nata spent $\ 28$ on $2$ DVDs

so

by proportion

Find the cost of $5$ DVDs

$\frac{28}{2} \frac{\ }{DVD} =\frac{x}{5} \frac{\ }{DVD}\\ \\2*x=28*5\\ \\x=28*5/2\\ \\x=\ 70$

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

$\frac{28}{2} \frac{\ }{DVD} =\frac{x}{1} \frac{\ }{DVD}\\ \\2*x=28\\ \\x=28/2\\ \\x=\ 14$

therefore

the unit rate is $14\frac{\ }{DVD}$

The answer Part b) is

Nata spent her money at the rate  $14\frac{\ }{DVD}$

Answer 2

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