Ratios and Proportions
Write the rapport of 1's to 2's three different ways (words, ratio, fraction):
1 1 2 1 2 2 2 1 2
4 to 5
4 : 5
4/5
Use cross multiplication to solve the following:
a 4
-- = ---
9 2
a=18
What's 12% of 800?
96
Amalie scored 34/40 on her science test. What's the percentage/mark she got on her test?
85%
Which are two equivalent ratios of 2:8?
2:6
4:8
4:16
1:4
1:2
1:4
4:16
3 hotdogs for one person is equivalent to:
a. 4 hotdogs for 10 people
b. 8 hotdogs for 12 people
c. 15 hotdogs for 5 people
d. 6 hotdogs for 3 people
c. 15 hotdogs for 5 people
Write the fraction 3/5 as a decimal, percentage, and ratio.
0.6
60%
3:5
Philip grew 12 cm in 4 months. How many cm did he grow each month?
3 cm per month
Find the missing ratios:
1. _____:7 = 2:14
2. 2:5 = 6:_____
3. 2:8 = _____:32
4. 10:25 =30:_____
1:7
6:15
8:32
30:75
Use the "If and Then" method and cross multiplication to answer the following:
Nicole buys 12 apples for 6$. How many apples can she buy for 3$?
n= 6
Nicole can buy 6 apples for 3 dollars.
It rained 15mm in 3 days. How many mm did it rain in one day?
5mm
A theater offers one usher for every group of 20 attendees. If 300 people have booked tickets for a show at this theater, how many ushers will be needed?
15 ushers
In a classroom, there are 14 girls for every 7 boys. If there are 49 boys in total, how many girls are there? (14:7 = ___ : 49)
98
The currency used in Europe is the euro. The current exchange rate is 1.20 US dollars for 1 euro. If you exchange 60 US dollars, how many euros will you receive?
50 euros.
4 bars of chocolate cost $2.20
1. How much did each bar cost?
2. How much would you pay if you had to pay 13% tax for 4 bars?
1. $0.55
2. $2.49
= (0.13 x 2.20) + 2.20
= 0.286 + 2.20
= 2.49
The original price of a sofa is $999.99. However, it's on sale with a discount of 20%. What is the sale price? *How much are you paying with the discount
$799.992
= 20% of 999.99
= 999.999 - (0.2 x 999.999)
= 999.999 - 199.998
= 799.992
A recipe calls for 4 eggs, 2 cups milk and 1 scoop vanilla. Write a ratio (SIMPLIFIED) for:
1. Milk/Eggs
2. Vanilla/Eggs
3. Milk/vanilla
4. Eggs/All ingredients
1. 1:2
2. 1:2 (2:4)
3. 2:1
4. 4:7
In a wildlife sanctuary, the ratio of lions to tigers is 5:3. If there are 15 lions in the sanctuary, how many tigers are there?
9 tigers
The original price of a bicycle is $349.99. However, it's on sale with a discount of 20%. What is the sale price? What is your total if you pay a sales tax of 6%?
Price with discount: $279.992
Total price = $296.79
= 0.06 (6%) x 279.992
= 16.79952 + 279.992
= 296.79
A dining table in real life measures 2 meters in length. If you construct a model of the dining table at a scale of 1:10 (meaning 1 unit in the model represents 10 units in real life), what will be the length of your model? Use the "If and Then" method to solve the question and include a sentence indicating the answer
0.2 meters