Question

At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of starting a small watercolor project soon. The Deluxe Painter kit has 12 acrylic paints and 24 watercolor paints. The Traveling Painter kit has 8 acrylic paints and 16 watercolor paints. Do the kits have the same ratio of acrylic paints to watercolor paints?

Answer 1

To find out if the Deluxe Painter kit and the Traveling Painter kit have the same ratio of acrylic paints to watercolor paints, we can calculate the ratio for each kit.

Deluxe Painter Kit:

• Acrylic paints: 12
• Watercolor paints: 24

The ratio of acrylic paints to watercolor paints for the Deluxe Painter kit is:

\[ \text{Ratio (Deluxe)} = \frac{12}{24} = \frac{1}{2} \]

Traveling Painter Kit:

• Acrylic paints: 8
• Watercolor paints: 16

The ratio of acrylic paints to watercolor paints for the Traveling Painter kit is:

\[ \text{Ratio (Traveling)} = \frac{8}{16} = \frac{1}{2} \]

Both kits have a ratio of 1:2 (or 1/2) for acrylic paints to watercolor paints.

Conclusion: Yes, the kits have the same ratio of acrylic paints to watercolor paints.