Question

understand, express, and compare percent ratios

1. in a louisiana chili cook - off, 18 of the 40 chilis included two types of beans. what percentage of the chilis did not include two types of beans?
2. the ratio of roses to lilies in a garden is 3 to 2. if lilies and roses are the only flowers in the garden, what percentage of the gardens flowers are roses?
3. (mp) attend to precision the picture shows the blue and white tiles of an outdoor patio. what percent of the tiles are blue? explain.
4. a movie studio keeps 240 dresses in its wardrobe for historical films. three - fifths of them can be used for movies that take place in the 1700s and 15% of them can be used for movies in the civil war era.

a. what percent of the dresses are for films set in the 1700s?
b. what percent of the dresses are for films not set in the 1700s? explain how you found your answer.
c. what percent of the dresses are for films set in the 1700s or during the civil war era? explain how you found your answer.
d. what percent of the dresses are not for films set during the civil war era? explain how you found your answer.
for problems 5 - 8, write each number as a percent.

1. \\(\frac{1}{5}\\)
2. \\(\frac{9}{10}\\)
3. 0.33
4. \\(\frac{11}{2}\\)

Explanation:

Problem 1

Step1: Find number of chilis without two types of beans

Total chilis = 40, chilis with two types of beans = 18. So chilis without = \( 40 - 18 = 22 \)

Step2: Calculate percentage

Percentage = \( \frac{22}{40} \times 100\% = 55\% \)

Step1: Total parts in ratio

Ratio of roses to lilies is 3:2, so total parts = \( 3 + 2 = 5 \)

Step2: Percentage of roses

Percentage of roses = \( \frac{3}{5} \times 100\% = 60\% \)

Step1: Count total and blue tiles

From the grid, total tiles: Let's assume the grid is 5x5? Wait, looking at the grid, blue tiles: 3x3=9? Wait, the grid seems to be 5 columns and 5 rows? Wait, no, the blue tiles are 3x3? Wait, the grid has 5 columns and 5 rows? Wait, no, the blue tiles are 3 columns and 3 rows? Wait, actually, let's count: total tiles: 5 columns × 5 rows = 25? Wait, no, the grid in the picture: let's see, the blue tiles are 3x3? Wait, no, the grid has 5 columns and 5 rows? Wait, the user's writing says "I added 16 by 9 =25" – wait, 16 + 9? No, total tiles: let's count the grid. The blue tiles: 3 columns (width) and 3 rows (height)? Wait, no, the grid is 5 columns (since from left to right, there are 5 squares) and 5 rows (top to bottom, 5 squares). Wait, blue tiles: 3 columns and 3 rows? Wait, no, the blue area is 3x3? Wait, no, the grid has 5 columns and 5 rows, so total tiles = 5×5 =25. Blue tiles: 3×3=9? Wait, no, the user's calculation: 9 divided by 25. So total tiles =25, blue tiles=9.

Step2: Calculate percentage

Percentage of blue tiles = \( \frac{9}{25} \times 100\% = 36\% \)

Answer:

55%

Problem 2