RP3-Ratios and Proportions
In a fruit basket, there are 34 apples and 58 Bananas. What is the ratio of apples to total fruit?
Must add labels!
34 Apples: 92 Total Fruit
A baker has 3 loaves of bread. He cuts each loaf into slices that are 1/4 of a loaf thick.
How many slices of bread does the baker have in total?
A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. What is the probability (as a fraction) of randomly picking a blue marble?
1/2
3x2-4x+2
when x=9
209
A car travels 120 miles in 2 hours. At this same rate, how many miles will the car travel in 5 hours?
300 miles
A recipe for lemonade uses a ratio of 2 cups of sugar to every 5 cups of water. If you decide to make a huge batch and use 180 cups of water, how many cups of sugar do you need?
Must add labels!
72 cups of sugar for every 180 cups of water.
12/16 divided by 15/30
1 1/2
A survey of 50 students found that 15 of them prefer pizza over tacos. Based on this data, if there are 400 students in the entire school, how many would expect to prefer pizza?
About 120 students would be expected to prefer pizza.
Solve for Y: 15y=105
y=7
You have 3/4 of a pound of trail mix. If each serving size is 1/8 of a pound, how many servings do you have?
6 servings
The ratio of boys to girls in the 6th grade band is 3:5. There are 40 students in band in total.
How many of the students are girls?
25 girls are in band
A rectangular garden has an area of 7 1/2 square feet. The width of the garden is 1 1/2 feet. What is the length of the garden?
The length of the garden is 5 feet.
In a neighborhood of 80 houses, a real estate agent notes that 25% of the houses have swimming pools. How many houses do not have swimming pools?
60 houses do not have swimming pools.
Find X and then graph on number line.
-2x+5<11
x>-3
Open circle on -3, arrow to the right.
Simplify expression:
7(2x+5) + 3.5 - 6(7x - 2)
−28x+50.5
The ratio of cats to hamsters is 4:1
If there are 12 dogs, how many hamsters are there?
If there are 12 dogs, then there are 2 hamsters.
A turtle crawls 5/6 of a mile in 2/3 of an hour. At this speed, how many miles can the turtle crawl in one full hour.
The turtle can crawl 1 ¼ miles in one hour.
Two sixth grade classes are collecting cans for a drive.
Class A collected 42 cans for 14 students
Class B collected 60 cans for 25 students
Which class has a higher proportional rate of cans per student?
Class A has the higher proportional rate.
Find X
4(2x-3)=3x+12
X= 24/5 or 4.8
A right triangle has a base of 10 inches and a height of 6 inches. What is the area?
30 square inches
Two builders, Bob and Wendy, are sharing a pile of 120 bricks. Initially, they decide to share them in a ration of 2:3. However, Wendy decides she needs more and takes 12 bricks from Bob's pile and puts them in her own.
What is the new ratio of Bob's Bricks to Wendy's Bricks? Simplify if possible.
The new ratio for Bob's brick pile to Wendy's pile is 3:7
A large water tank is 5/8 full. A pump removes 1/16 of the tank's total capacity every minute. After the pump runs for a while, the tank is only 1/4 full. How many minutes did the pump run?
The pump ran for 6 minutes.
A basketball player scored the following points over 7 games: 12, 18, 12, 22, 15, 10, 23.
Find the mean, median, mode, range, MAD, and IQR
Round to the nearest Hundreths place
Mean = 16
Median = 15
Mode = 12
Range = 13
MAD ≈ 4.29
IQR = 10
A taxi service charges a flat fee of $5 plus $2 per mile. If you have at most $25 to spend, write and solve an inequality to find the maximum number of miles (m) you can travel.
A jacket costs $45. It is on sale for 20%off. What is the sale price of the jacket?
Sale price of the jacket is $36