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
[tex]10x+y\le 25.[/tex]
Brandi wants to purchase at least 5 singles. This means that
[tex]y\ge 5.[/tex]
Note that x and y are whole numbers.
There are three possibility:
- x = 0, y = 25 (the total cost is 10·0 + 1·25 = 25 ≤ 25 and 25 singles is more than 5 singles);
- x = 1, y = 15 (the total cost is 10·1 + 1·15 = 25 ≤ 25 and 15 singles is more than 5 singles);
- 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.
