Free Printable Solving Proportions Worksheets [PDFs] Brighterly - Free Printable

Let’s go through each part step by step.

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a. What is the ratio of clubs to spades?

Look at the symbols:

- Clubs (♣): There are 4 clubs in the third row.
- Spades (♠): There are 5 spades in the first row.

So, ratio of clubs to spades = 4 : 5

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b. What is the ratio of hearts to diamonds?

- Hearts (♥): 5 hearts in the fourth row.
- Diamonds (♦): 5 diamonds in the second row.

Ratio of hearts to diamonds = 5 : 5, which simplifies to 1 : 1

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c. What is the ratio of spades and clubs to hearts and diamonds?

First, add spades + clubs:
Spades = 5, Clubs = 4 → 5 + 4 = 9

Then, add hearts + diamonds:
Hearts = 5, Diamonds = 5 → 5 + 5 = 10

Ratio = 9 : 10

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d. Music class: 14 boys and 9 girls

Total students = 14 + 9 = 23

- Ratio of boys to girls = 14 : 9
- Ratio of girls to boys = 9 : 14
- Ratio of boys to students = 14 : 23
- Ratio of girls to students = 9 : 23

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e. Golf balls: 32 yellow out of 100 total

That means white golf balls = 100 - 32 = 68

- Ratio of white to yellow = 68 : 32

We can simplify this by dividing both by 4:
68 ÷ 4 = 17, 32 ÷ 4 = 8 → 17 : 8

- Ratio of yellow to white = 32 : 68

Simplify by dividing by 4:
32 ÷ 4 = 8, 68 ÷ 4 = 17 → 8 : 17

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f. Juice case:

Bottles:
- Grape juice: 4
- Fruit punch: 9
- Cranapple juice: 7
- Raspberry juice: 2

Total bottles = 4 + 9 + 7 + 2 = 22

- Ratio of cranapple to grape = 7 : 4

- Ratio of grape juice and fruit punch to total bottles:

Grape + fruit punch = 4 + 9 = 13

Total = 22

Ratio = 13 : 22

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Final Answer:

a. 4 : 5
b. 1 : 1
c. 9 : 10
d. Boys to girls: 14 : 9; Girls to boys: 9 : 14; Boys to students: 14 : 23; Girls to students: 9 : 23
e. White to yellow: 17 : 8; Yellow to white: 8 : 17
f. Cranapple to grape: 7 : 4; Grape and fruit punch to total: 13 : 22