Question

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

Answer 1

It's 2 albums and 5 singles that what i got on the test

Answer 2

If Brandi purchases x albums and y singles, then x albums cost $10x and y singles cost $y. She wants to spend no more than $25 total, then

`10x+y\le 25.`

Brandi wants to purchase at least 5 singles. This means that

`y\ge 5.`

Note that x and y are whole numbers.

There are three possibility:

1. x = 0, y = 25 (the total cost is 10·0 + 1·25 = 25 ≤ 25 and 25 singles is more than 5 singles);
2. x = 1, y = 15 (the total cost is 10·1 + 1·15 = 25 ≤ 25 and 15 singles is more than 5 singles);
3. x = 2, y = 5 (the total cost is 10·2 + 1·5 = 25 ≤ 25 and 5 singles is equal to minimal required number of singles).

Answer: 1) 0 albums and 25 singles;

2) 1 album and 15 singles;

3) 2 albums and 5 singles.