Ratios - 3 ways
Write a ratio for the following situation in 3 ways:
For every 1 car there are 4 wheels.
1:4, 1 to 4, 1/4
Are these ratios equivalent? How do you know?
4:11 = 32:88
Yes, because the constant is 8
c = 8
It takes Mark 6 hours to paint 3 walls of a room. At that ratio, how long will it take him to paint 6 walls?
6 hours : 3 walls = 12 hours : 6 walls
12 hours
Find the value of the ratio:
6/24
1/4
For every 20 students there are 2 teachers. Find the value of the ratio. How many students are there if there are 3 teachers?
20/2 = 10/1 = 10
10 x 3 teachers = 30 students
Write a ratio for the following situation in 3 ways:
For every 35 students there are 2 teachers.
35:2, 35 to 2, 35/2
Are these ratios equivalent? How do you know?
9:12 = 18:26
No, because their constants are different.
Sarah saves $12 for every $30 she earns. If she wants to save $60, how much does she need to earn?
$12 earned : $30 saved = $24 earned : $60 saved
She needs to earn $24
Find the value of the ratio:
18/30
3/5
The number of questions correct is 1/3 times the amount of questions wrong. If I corrected a test with 18 questions wrong, how many questions did the student get right?
1/3 x 18 = 18/3 = 6
The student got 6 questions right.
Write a sentence for the following ratio of boys to girls:
13:18, 13 to 18, 13/18
For every 13 boys, there are 18 girls.
Are these ratios equivalent? How do you know?
0:16 = 0:16
Yes, because their constant is 1
You are making a mixed nut snack with cashews and almonds at a ratio of 1 cups to 2 cups. If you want to have a TOTAL of 6 cups of the snack recipe, how much of EACH nut should you use to keep the same ratio?
1 c cashews : 2 c almonds = 2 c cashews : 4 c almonds
2 + 4 = 6 cups
Find the value of the ratio:
2/5
2/5
The number of parents is 1/2 times the number of students. If there are 100 students, how many parents are there?
1/2 x 100 = 100/2 = 50
14 people's favorite sandwich is PB&J, 6 people prefer turkey & cheese. What is the ratio of people who prefer turkey & cheese to the TOTAL number of people?
6:20, 6 to 20, 6/20
What constant makes these ratios equivalent?
7:3 = 63:27
c = 9
You are making a fruit punch by mixing 3 cups of orange juice for every 2 cups of apple juice. If you want to make a larger batch with 15 cups of juice in TOTAL, how much of each juice should you use to maintain the same ratio?
2 : 3 = 6 : 9
6 + 9 = 15
Find the value of the ratio:
12/63
4/7
In a bouquet of flowers, there are 4 purple flowers for every 10 white. Find the value of the ratio, and find out how many purple flowers I need for 110 white flowers.
4/10 = 2/5
2/5 x 110 = 220/5 = 44
I would need 44 purple flowers for 110 white flowers.
150:300, 150 to 300, 150/300
(1:2, 1 to 2, 1/2)
What value of the constant makes these ratios equivalent?
10:4 = 120:48
c = 12
Ms. Knight's car travels 400 miles in 4 hours. How long would it take her to drive only 100 miles?
100 : 1 = 400 : 4
It would take 1 hour to drive 100 miles
a) 6:10
b) 20:50
c) 9:15
A & C
A hot sauce recipe calls for 8 peppers for every 2 tomatoes. Find the value of the ratio and tell me how many peppers I need if I have 8 tomatoes.
8/2 = 4/1 = 4
4 x 8 tomatoes = 32 peppers needed