Question

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy

The inequality that represents this scenario is
1. 8.5x +20>54
2. 8.5x-20<54
3. 54-8.5x<20
4. 54- 8.5x>20

Answer 1

Opcion 4

`54- 8.5x>20`

Explanation:

We must identify the quantities.

Painting canvas

more than $ 20

Paint tubes (x):

$ 8.50 per tube = 8.50x

Available money:

$ 54

Then the expenses must not exceed $ 54, and the budget for the painting canvas must be greater than $ 20

The money after buying the paint tubes is:

`54-8.50x`

We know that this amount must be greater than $ 20 because you need to buy the painting canvas. So the inequality is:

`54-8.50x> 20`

Answer 2

4. 54- 8.5x>20

Explanation:

Catherine only has $54, so she cannot spend more than that.

The canvas will cost at least $20, but we don't know how much exactly.

The tubes cost $8.50 each.

So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.

So, we transpose those facts into the inequity:

54 - 8.5x > 20