Ratios, Rates & Unit Rates
What are the 3 ways you can write a ratio? Use the letters a and b
a:b , a to b , a/b
8/3=272/x
x = 102
Ryan is building a doll house that is proportional to his own house. He uses a scale of 0.5 in = 1 foot. If the doll house is 12.3 inches tall, how tall is the actual house?
24.6 feet
52.5% of what number is 131.25?
250
Greg earns 3% commission on each car he sells. He total car sale was $85,467, what was he paid?
$2,564.01
Write this as a unit rate:
There are 128 students in 4 gym classes.
32 students/class
14/5 = x/30
x = 84
A picture has been enlarged using a scale of 1 inch = 1.5 inches. If the original drawing was 4.6 inches long, how long in the enlargement?
6.9 inches
What is 95% of 150?
142.5
Ellie makes 12.5% commission selling makeup. If she sold $2,345 worth of makeup, what is her take home pay?
$293.13
8 boxes of brownies for $25.92
$3.24/box
It takes 2 hours for 60 gallons of water to drain from a pool. How many gallons would drain after 72 hours?
2160 gallons
Sam made a model of the Eiffel Tower. The base was 8 inches. If the actual base is 12 feet what was the scale he used?
1 inch = 1.5 feet
Katie went out to dinner and her bill was $32. She tipped 25%. What was the final total?
$40
Find the simple interest to the nearest cent.
$10,000 at 4.2% for 5 years.
$2,100
Which deal is better?
Option A: 12 binders for $30
Option B: 7 binders for $16.80
Option B
A; $2.50/binder
B; $2.40/binder
Allison can sew 3 scarves in 75 minutes. How many scarves can she sew in four hours?
9 scarves
A house casts an 84 foot shadow. At the same time, Josh casts a 10 foot shadow. If Josh is 6 feet tall, how tall is the house?
51 feet
Chase bought an $80 coffee maker and had a coupon for 20% off. He was then charged an 8% tax. What was the final selling price?
$69.12
Ruth deposited $1,200 in a bank account that pays 5% rate in interest. How much will the account earn after 24 months?
$120
Alex exercised for 3 days this week. His calories burned are listed below
Monday - 150
Wednesday - 450
Friday - 300
What is the ratio of calories burned on Wednesday to the total calories she burned?
450/900 is 1/2
The ratio of chicken to vegetables in a soup is 2:3. If there are 9 cups of chicken, how many cups of vegetables are in the soup?
13.5 cups
A fire hydrant is 2 and 3/4 feet tall and casts a shadow that is 2 feet long. Find the length of the shadow casted by a 154 foot statue.
112 feet
A one night stay at Disney is $550. If you have a coupon for 10% off and sales tax is 7% find the total cost of the room.
495+34.65 = $529.65
Tyler opened a credit card with a 19.5% simple interest rate to purchase an $879 laptop. If he pays off the laptop in 18 months, how much will he have paid in total.
$1,136.11