Question

Aaron received a $25 gift card for his birthday. He used it to download a game for $3.99

and some songs for $0.99 each.
The following inequality models the relationship among the quantities in this scenario
where x represents the number of songs Aaron can afford to download:
25 ≥ 0.99 x + 3.99
Show all work to solve the inequality

Answer 1

`21 \geq x`




`25 \geq 0.99x + 3.99`


`25-3.99 \geq 0.99x + 3.99-3.99` (Subtract 3.99 on both sides)


`21.01/0.99 \geq 0.99x/0.99` (Divide 0.99 to isolate x)

21.01/ 0.99 is 21.222 bar, so round it to the nearest ones place, which is 21.


`21 \geq x`

Check:


`0.99(21)+3.99` (Multiply)


`20.79+3.99` (Add)


`24.78`, which is $25.

Answer 2

25 ≥ 0.99x + 3.99

Subtract 3.99 to both sides:

21.01 ≥ 0.99x

Divide 0.99 to both sides:

21.22 ≥ x

x ≤ 21.22

So he can buy less than or equal to 21 songs.