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Keeley buys songs from a music website. She buys 35 songs for $26.25. What is the price per song?

Answer 1

Gabriel Agustin

This is why Jacob's shortcut method works.

The cost of 1 song is 75 cents

Using ratio in fraction form:

#("cost")/("Songs bought") ->($26.25)/35#

But the target is #("cost")/("1 song")# so we need to change the 35 into 1.

For multiply and divide; what you do to the bottom you also do to the top.

#("cost")/("Songs bought") ->($26.25)/35 -=("cost")/1#

#("cost")/("Songs bought") ->(color(red)($26.25-:35))/(35-:35) -=($0.75)/1=("cost")/("1 song")#

The cost of 1 song is 75 cents

The bit in red is the shortcut method.

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Answer 2

Emery Allen

The price per song is $0.75.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.