Question

PAINTING Gary sells paintings of birds, puppies, and kittens. Watercolor paintings cost $20 each and oil paintings cost $30 each. Each painting
comes with a free frame. The frames for the bird paintings are made of oak, the frames for the puppy paintings are made of walnut, and the
frames for the kitten paintings are made of pine.
. Fred paid $50. The frames on his pictures were made of pine and walnut.
• Alicia paid $50. The frames on all of her pictures were made of oak.
• Melanie paid $60. The frames on all of her pictures were made of walnut.
• Walt paid $60. The frames on his pictures were made of oak, walnut, and pine.
Based on the previously given axioms and the purchase descriptions above, which conclusion is true?
O A) Fred bought an oil painting of a kitten and an oil painting of a puppy.
OB) Walt bought three watercolor paintings, one each of a bird, puppy, and kitten.
O C) Alicia bought two watercolor paintings about birds.
OD) Melanie bought three watercolor paintings, two were of puppies and one was of a kitten.

Answer 1

Based on the given axioms and purchase descriptions, the two TRUE conclusions are: B) Walt bought three watercolor paintings .... and D) Melanie bought three watercolor paintings ...

• The true conclusions are based on the costs of watercolor and oil paintings.

• According to the axioms, the watercolor paintings cost $20 each while the oil paintings cost $30 each.  The frame is free.  Therefore, there is no consideration of their costs here.

• Since Walt and Melanie paid $60 each, it means that they purchased only watercolor paintings and 3 pictures each.

Data and Calculations:

Payments and (Purchases):

Fred = $50 (made up of one oil painting of $30 and one watercolor painting of $20)

Alicia = $50 (made up of one oil painting of $30 and one watercolor painting of $20)

Melanie = $60 (made up of three watercolor paintings of $20 each)

Walt = $60 (made up of three watercolor paintings of $20 each)

Thus, the true conclusions are statements B) and D).

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