Question

Ben has a $40 gift card for an online audio store. He plans to buy some songs for $1 each and some audiobooks for $4 each. Ben knows he wants at least three times as many songs as books. His mother reminds him that he doesn’t have to spend the entire gift card amount at once. What are his options?

Answer 1

Since the songs are $1 each and the audio books are $4 so for every ONE audio book he buys at $4, he will buy THREE songs at $1 each. So if he buys 5 audio books he will buy 15 songs and in turn spend $20 on audio books and $15 on songs. You can make a formula to solve this problem if S= amount of songs and A= amount of audio books

S=A*3 input the number of Audio books and you get the number of songs per audio book. For example S=5*3 S=15 so you have 15 songs when you buy 5 audio books.

In order to calculate price (Total price = T), T=S+(A*4) This can only be calculated once you do the first formula. So since A=5 and S=15

T=15+(5*4) T=$35 If Ben buys 5 Audio Books and 15 songs, he will spend $35

Using the formula, Ben can buy 6 Audio books and 16 songs and spend $40

So Ben's options are either spending $35 and having 3 times as many songs as he does Audio books

Or spending all of his $40 and buying 1 more of each

(Additionally, he could buy 5 more songs and spend the same amount of money)

Answer 2

What is meant by “options” in the context of the final question?

*POSSIBLE COMBINATIONS OF THE NUMBERS OF AUDIOBOOKS BEN MAY BUY>

Let x = *NUMBERS OF SONGS* Let x =*NUMBER OF AUDIOBOOKS

Explanation: