Direct Proportions
Proportions in word problems
Similar Triangles
Weighted Averages
Slugging Percentage/bagging Average
100

If 3 apples cost $6, how much do 5 apples cost?

$10

100

a recipe calls for 2 cups of flour for every 3 cups of sugar. what is the proportion of flour and sugar?

2.3

100

Triangles A has sides 3, 4, and 5. Triangle B has a side of 6. What is the corresponding side of triangle B?

8

100

A student scored 80 in math (weight 3)and 90 in science (weight 2) what is the weighted average? 

84

100

A player has a 20 hits in 50 at-bats. What is their batting average?

0.400

200

If 4 meters of fabric cost$32, how much would 10 meters costs??

$80

200

if a car travels 150 miles on 5 gallons of gas, what is the proportion of miles to gallons??

30miles/gallons

200

If Triangle C has sides of 2, 3, and 4, and Triangle D is similar with its longest side as 8, What is the length of the shortest side of Triangle D? 

4

200

a company has 3 employees who earn $40,000, $50,000, and 60,000. what is the weighted average salary??

50,000

200

if a baseball player hits 5 home runs and has 100 total at-bats, what is their slugging percentage if each home run counts as 4 hits?

0.240

300

A recipe requires 2 cups of sugar for 4 cakes. How much sugar is needed for 10 cakes?

5 cupes

300

in a class of 30 students, 18 are girls what is the proportion of girls to boys??

3.2

300

In similar Triangles, if the sides of E are 5, 12, and 13, and the shortest side of Triangle F is 10, what is the length of the longest side of triangle F?

26

300

a basketball player scores 10 points in the first game (weight 1) and 20 points in the second game (weight 2)what is the weighted average points scored?

16.67

300

a player has 30 hits, 10 of them are homeruns. what is their slugging percentage??

0.600

400

If it takes 3 hours to paint 2 rooms, how long will it take to paint 5 rooms?

7.5 hours

400

if 8 pencils cost $4, how much would 20 pencils cost

$10

400

Two Triangles are similar, with the ratio of their sides as 3.5. If the longer side of the first Triangle is 15, what is the longest side of the second Triangle.

25

400

a student has grades of A (weight 4) B (weight 3) and C (weight2). if A=90 B= 80 and C=70, what is the weighted average ?

81.67

400

if a player has a batting average of 0.300 and has 150 at-bats , how many hits do they have??

45

500

If 5 workers can complete a task in 10 days, how many days will it take for 8 workers to complete the same task?

6.25 days

500

a map drawn to scale where 1 inch represents 50 miles. if two cities are 4 inches apart on the map, how far apart are they in reality?

200 miles

500

Triangle G has sides of 7, 24, and 25. If Triangle H is similar to Triangle G and its shortest side is 14, what are the lengths of the other two sides?

48 and 50

500

A class has scores of 60(weight 1), 70(weight 2), and 80(weight 3). What is the weighted average score?

74

500

a player hits 10 doubles, 5 triples, and 15 homeruns with 200 at-bats. what is the slugging percentage?

0.450

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