Ms. Henderson’s 5 art classes are turning in their final projects for the year. The table shows the numbers and type of project turned in during her first 4 classes.
Part A
Write the ratio of paintings to sculptures for each class in simplest terms.
Class A(8 to 12): 2:3, Two to Three ,2/3
Class B (5 to 15): 1:5, One to 5ive, 1/5
Class C (10 to 10): 1:1 ,One to One, 1/1
Class D(7 to 13): 7:13. Seven to Thirteen, 7/13
Part B
What is the ratio of the total number of paintings to the total number of the sculptures for all of the classes combined? Explain how you got your answer.
I first added all of the numbers of painting and got 30 then I added all of the sculptures and got 50 .I saw I could simplify both by 10 so the ratio is 3 to 5.
8 + 5 + 10 + 7 = 30 Paintings
12 + 15 + 10 +13 = 50 Sculptures.
30 to 50 = 3 to 5
30/50 = ⅗
30:50 = 3:5
Part C
Ms. Henderson has 24 students in her fifth art class. The ratio of paintings to sculptures in this class is the same as the ratio of paintings to sculptures for her first four classes combined. Determine how many students in her fifth class are turning in each type of project. Explain how you got your answer.
B 5 to 15 is one to three not one to five
C 3/5 = painting/sculpture
so
3/8 = painting/total
5/8 = sculpture/total
3/8 * 24 = 9
5/8 * 24 = 15
B is 30 to 50 is 3 to five
To determine the number of students in Ms. Henderson's fifth art class turning in each type of project, we need to use the ratio of paintings to sculptures from the first four classes combined.
From Part B, we calculated the ratio of paintings to sculptures for all the classes combined as 3:5.
Now, we need to apply this ratio to the fifth art class, which has a total of 24 students.
1. Identify the total number of parts in the ratio:
The ratio 3:5 has a total of 3 + 5 = 8 parts.
2. Calculate the value of each part:
Divide the total number of students (24) by the total number of parts (8):
24 ÷ 8 = 3
3. Determine the number of students turning in each type of project:
Multiply the value of each part by the corresponding number in the ratio.
Number of students turning in paintings:
3 (value of each part) × 3 (number of parts for paintings) = 9
Number of students turning in sculptures:
3 (value of each part) × 5 (number of parts for sculptures) = 15
Therefore, in Ms. Henderson's fifth art class, 9 students are turning in paintings, while 15 students are turning in sculptures.