Intro to Ratios
At the ice cream shop, there are 15 boys, 12 girls, and 5 adults.
Write the ratio of number of girls to the number of boys.
12:15 (or 4:5)
7:4 = ___ :48
84:48
At a summer camp, the ratio of boy campers to girl campers is 8:7. If there are a total of 195 campers, how many boy campers are there?
104 boy campers
Write an equation for the situation:
Kieran is training for a marathon and can run 6 miles in 1 hour.
m = h x 6 OR m = 6h
Equal; when two values are the same
Equivalent
John ate four times as many cookies as Julie.
Write a ratio for this description in three different ways.
4:1
4 to 1
4/1
Create two ratios that are equivalent to the ratio 6:10
Answers will vary
The ratio of people who prefer chocolate chip cookies to oatmeal cookies is 5:2. If 56 people were surveyed, how many people prefer each type of cookie?
40 people prefer chocolate chip
16 people prefer oatmeal
Write and equation for the situation:
Aidan earns $54 after working for 6 hours at his Uncle's shop.
money ($) = 9h
Define 'Ratio'
A comparison between two quantities
A prize bucket contained 21 pencils, 35 pieces of candy, 10 pens, and 8 erasers.
What is the ratio of pencils and pens to total prizes?
31:74
Determine the scale factor of the equivalent ratios
4:16 and 52:208
Scale Factor: 13
The ratio of adults to students at prom has to be 1:10. Last year there were 477 more students than adults at the prom. If the school is expecting the same attendance this year, how many adults have to attend the prom?
53 adults
Elizabeth walks at a constant rate. She walks 8 miles in 4 hours. What is the ordered pair that will represent how many miles she walks in one hour?
(1, 2)
Define: 'Scale Factor'
The factor or multiplier in which both numbers in a ratio are multiplied by to form an equivalent ratio.
OR
The ratio of two corresponding sides in a set of similar figures.
The ratio of people who own a smartphone to people who own a flip phone is 4:3. If 500 more people own a smartphone than a flip phone, how many people own each type of phone?
2000 people own smartphones and 1500 people own flip phones.
153:135
A car company has two shifts of workers. 375 more employees work the day shift than the night shift. If the ratio of the number of employees who work the night shift compared to those who do NOT is 2:5, how many employees work the night shift?
250 employees
Sean does his math homework at a consistent rate of 6 problems every 9 minutes (6,9). What are two other ordered pairs that could be graphed to show equivalent ratios?
Answers will vary
(2, 3); (4, 6) ; (8, 12)
Any ratio that simplifies to (2,3)
Define: 'Proportion'
Two equal ratios
Sammy and David were selling water bottles to raise money for new football uniforms. Sammy sold 5 water bottles for every 3 water bottles David sold. Together they sold 160 water bottles. How many did each boy sell?
Sammy sold 100 water bottles and David sold 60 water bottles.
At Kiddie Academy, there are 2 teachers assigned for every 18 kids. There are 108 kids enrolled for the daycare this summer. Determine the number of teachers needed.
12 teachers
An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
189 total tickets
A bracelet is created by adding 8 red beads for every white bead. This pattern is graphed on a coordinate plane. If the white beads are shown on the x-axis and the red beads are on the y-axis, what ordered pair would show this ratio?
(1,8)
x-variable is located on the bottom of the graph and goes horizontal.
y-variable is located on the side of the graph and goes vertical