Question

1. (36) an art dealer sold 3 of the 12 paintings that were on display in her gallery.

a. what was the ratio of the number of paintings sold to the number of paintings not sold?
b. what fraction of the paintings did the dealer not sell?
c. what percent of the paintings were sold?

• 5. (55) will’s bowling average after 5 games was 120. in his next 3 games, will scored 118, 124, and 142. what was will’s bowling average after 8 games?

1. (23) diagram this statement. then answer the questions that follow.

three fifths of the 60 questions were multiple - choice.
a. how many of the 60 questions were multiple - choice?
b. what percent of the 60 questions were not multiple - choice?

Explanation:

Problem 4a

Step1: Find paintings not sold

Total paintings: 12, sold: 3. Not sold: \( 12 - 3 = 9 \)

Step2: Calculate the ratio

Ratio of sold to not sold: \( \frac{3}{9} = \frac{1}{3} \) or \( 1:3 \)

Step1: Find paintings not sold

Total: 12, sold: 3. Not sold: \( 12 - 3 = 9 \)

Step2: Find the fraction

Fraction not sold: \( \frac{9}{12} = \frac{3}{4} \)

Step1: Calculate the percentage

Percent sold: \( \frac{3}{12} \times 100\% = 25\% \)

Answer:

\( 1:3 \) (or \( \frac{1}{3} \))

Problem 4b