Ratios
Are ratios both seen in the form of scale and as a fraction?
What is yes?
Do each pair of ratios form a proportion?
2/3 and 6/9
What is Yes.
18 = 18
Julie was able to walk 16 km through the park in 6 hours. How long will it take her to walk 24 km through the park?
What is 9 hours.
or 16 km/ 6 hours = 24 km/ x
x must be across from 6 hours
9/6 = x/18
What is x = 27
A flower was 2 inches tall, now it is 10 inches tall. What is the scale factor?
What is 5?
What is 3 circles to 5 triangles written as a ratio
What is 3 : 5 or 3 / 5
Do the ratios form proportions?
5/4 and 25/16
What is No.
80!=100
The ratio of vanilla pudding to chocolate pudding in a banana split pie is 4 to 3. Olivia has 640 grams of vanilla pudding. How much chocolate pudding does she need?
What is 480 grams.
or
4 vanilla/ 3 chocolate = 640 vanilla/ x
chocolate must be across from x
4/3 = 8/x
What is x = 6.
A boy had ten cents and now he has 50 cents. Scale Factor?
What is 5?
A bag contains 15 blue marbles and 10 red marbles. Give the ratio of red to blue marbles.
What is 10:15.
Do the ratios form proportions?
8/20 and 24/60
What is Yes.
480 = 480
If there are 500 calories in an 20 gram piece of cheesecake, how many calories are in a 15 gram piece of cheesecake?
What is 375 calories.
or 500 calories/ 20grams = x/ 15 grams
500 must be across from X
10/8 = x/32
What is x = 40
The box of donuts contained 12 donuts but now there are only 3 what is the scale factor
divided by 4 which is 1/4
How do you determine if two ratios are equivalent?
1/2 = 4/8
Reduce till they are the same
or
Cross multiply
Do the ratios form proportions?
5 /7 and 25 / 49
What is No.
245!=175
Annie bought 3 bags of special candy for $1.20. How much do 8 bags of candy cost?
What is $3.20.
or 3 bags/ $1.20 = 8 bags/ x
$1.20 must be across from x
7/5 = x/15
What is x = 21
The building was 100 feet tall but then it collapsed. Now it is 10 feet tall. Scale factor?
Divided by 10 or 1/10
Give one real-life examples where ratios are used involving cars and speed
Miles per gallon
Miles per hour
Do the ratios form proportions?
21 / 6 and 14.3 / 3
What is No.
(63!=86.8)
The moats separating the people from the animals are 5 meters wide for bears and 4 meters wide for leopards. If the bears' moats is 4 meters deep, how deep should the leopards' moat be?
What is 3.2 meters for the leopards.
or
5 bears/4 leopards = 4 bears / x
leopards must be across from x
1/2 = (2x)/44
What is x = 11
Egyptian obelisk is 120 feet tall. The souvenir is 2 feet tall. What is the scale factor?
What is 60?