contestada

Danielle needs to buy paints for an art class she is taking. She wants to buy both oil paintsfor special pieces and acrylic paints for everyday use. Tubes of oil paint are $6 each, and tubes of acrylic paint are $3 each. Danielle has a paint budget of $90, and she wants the ratic of acrylic tubes to oil tubes to be at least 2 to 1.
Graph a system of inequalities that represents this story. One inequality should represent
Danielle's budget, and the other inequality should represent the ratio of acrylic tubes to oil
tubes.

Respuesta :

MrRoyal

Inequalities are used to represent unequal expressions.

The system of inequalities is:[tex]6x + 3y \le 90[/tex] and [tex]y \ge 2x[/tex]

Represent oil paints with x, and acrylic paint with y.

Oil paints cost $6 per tube, while acrylic paint costs $3 per tube; and the budget is $90.

So, the inequality is:

[tex]6x + 3y \le 90[/tex]

The ratio of acrylic tubes to oil tubes is at least 2 to 1.

So, we have:

[tex]y : x \ge 2 : 1[/tex]

Express as fraction

[tex]\frac yx \ge \frac 21[/tex]

Multiply both sides by x

[tex]y \ge 2x[/tex]

So, the system of inequalities is:

[tex]6x + 3y \le 90[/tex] and [tex]y \ge 2x[/tex]

See attachment for the inequalities

Read more about systems of inequalities at:

https://brainly.com/question/9479517

Ver imagen MrRoyal

Otras preguntas