Factor Puzzles
Proportions
Ratio Table
Cross Multiply
Tape Diagram
100

Solve for x.

4     14

8      x

x = 28

100

Solve for x.

4:5 = x:20

x = 16

100

Complete the ratio table. 

Pears to Apples 

   5           6

  15          x

x = 18

100

Solve for x.

4/8 = x/6

x = 3

100

To Make Cran/Apple juice, I mix 3 cups of apple juice with 4 cups of cranberry juice. 

If I want to increase the amount of apple juice I use to 9 cups, how much cranberry juice do I use?

12 cups.

200

Solve for x.

8     10

x     45

x = 36

200

Solve for x.

2:3 = 18:x

x = 27

200

Complete the ratio table.

Pencils to Pens

    6          2

    x         28

x = 84

200

Solve for x.

5/3 = 10/x 

x = 6

200

To Make Cran/Apple juice, I mix 3 cups of apple juice with 4 cups of cranberry juice. 

If I want to increase the amount of cranberry juice I use to 24 cups, how much apple juice do I use?

18 cups

300

Solve for x.

 x     7

25   35  

x = 5

300
Solve for x:

4:7 = 32:x

x = 56

300

Complete the ratio table.

Girls to Boys

   7         5

   x        45

x = 63

300

Solve for x.

5/10 = 7/x

x = 14

300

To Make Cran/Apple juice, I mix 3 cups of apple juice with 4 cups of cranberry juice. 

How much Cran/Apple juice (in TOTAL) am I making, if I use 15 cups of apple juice?

35 cups

400

Solve for x. 

49     56

x       72

x = 63

400

Solve for x.

3:4.5 = 15:x

x = 22.5

400

Complete the ratio table. (hint: find the number of dogs for 1 cat.)

Cats to Dogs

  2          3

  7          x

x = 21/2 or 10 1/2 or 10.5

400

Solve for x.

3/x = 12/40

x = 10

400

To Make Cran/Apple juice, I mix 3 cups of apple juice with 4 cups of cranberry juice. 

How much cranberry juice should I use when making a TOTAL of 28 cups of Cran/Apple juice?

16 cups

500

Solve for x.

72     88

 x     132

x = 108

500

Solve for x.

6:3/4 = 24:x

x = 12/4 or 3

500

Complete the ratio table. (hint: find the number of baseballs, when you have one softball)

Baseballs to Softballs

     5                3

     x               10

x = 50/3 or 16 2/3 or 16.66

500

Solve for x. (Hint: your answer can be either a fraction or a decimal)

1/8 = x/57

x = 57/8 or 7 1/8 or 7.125

500

To Make Cran/Apple juice, I mix 3 cups of apple juice with 4 cups of cranberry juice. 

How much apple juice should I use if I want to make a TOTAL of 56 cups of Cran/Apple juice?

24 cups