Proportional Reasoning
John travels 210 miles in three hours. How far does he travel in 1 hour?
What is 70 miles?
65% of 65
42.25
The airline built more planes. They went from 450 to 600. What is their percent increase?
33.3
Use formula: New - Original/Original and then multiply it by 100
You want to leave a tip for Judy, your waitress. Your bill is $17.99 and you want to leave 15% tip. What will your total bill be?
$20.69
Write the equation from the word problem:
350 is 70% of what number
350/X - 70/100
The plane travels 500 miles in 2 hours. How far does it fly in 9 hours?
What is 2,250 miles?
30% of 200
60
You went from 50" to 57" this year, in height. What percentage did you grow?
14%
Your tip is $5, and you paid 10% of your bill. How much is your bill?
$50
$45 is what percent of $68
45 = X(68)
Tanner is building his scale model of the Museum of Natural History. His length is 15 inches and his height is 7 inches. He knows that the original Museum is 333 feet long, but he needs to find the height. Can you write a proportion that will help him?
What is 155.4 feet?
171% of 100
171
You lost money in your investments. Your balance for 2018 was $3,700 and your new balance is now $3,200. What is your percentage decline?
-13.5%
I pay 14.5% to my waiter. My bill is $30. How much tip do I pay?
$4.35
What is 36% of 150?
X/150 = 36/100
Diego sells cars at the rate of 30 every 6 months. During the last 2 months, he has sold 5 cars. How many cars does he have to sell in the next 6 months to keep his average?
What is 35?
His UNIT RATE is 5 cars per month (30 divided by 6 months = 5 per month)
He has sold for 2 months, and has to sell for 6 more. That's a total of 8 months. His unit rate (5) times 8 months - 40 cars. Subtract the 5 he has already sold, and your answer is 35.
7.25 percent of 89
6.45
You had five dogs, but one was eaten by a mountain lion. You were buying 15 pounds of dog food per week, but now you are buying 12 pounds per week. What is your percentage decrease in food?
-20%
I paid $7 tip on a $47 bill. What percent did I pay?
14.89%
What is the total percent of 400 if the number is 60?
60/400 = x/100
LeTicia bought a new Chromebook for 51% off. Her price, after the discount, was $270. What was the original price, before the discount?
What is $551.02?
The proportional setup is as follows: The laptop was discounted at $270. That amount is now 49% of the total price. So her proportion is:
270/x = 49/100 (cross multiply and solve)
1000% of 200
2000
Your rabbits had babies. You went from 12 rabbits to 30 rabbits in 2 months. What is your increase % for those two months.
150%
I had to pay 5% tax and a 12% tip on my $65 bill. How much did I pay in TOTAL?
$76.05
76 is 76% of what number?
76/x = 76/100