Proportions Word Problems Worksheets - Free Printable

Let’s go through each problem one by one.

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Problem 1:
Coach John and team pitched 12 tents in 192 minutes. How long for 8 tents?

→ First, find how long it takes to pitch one tent:
192 minutes ÷ 12 tents = 16 minutes per tent

→ Now multiply by 8 tents:
16 × 8 = 128 minutes

✔ Check: 12 tents → 192 min; 8 is less than 12, so time should be less — 128 < 192 ✔️

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Problem 2:
Mary bought 15 donuts for $26.25. How many boxes can she buy for $105?

Wait — the question says “how many boxes of donuts” — but we’re given price for one box (15 donuts for $26.25). So we assume each box costs $26.25.

→ Divide total money by cost per box:
$105 ÷ $26.25 = ?

Let’s calculate:
26.25 × 4 = 105 → because 26 × 4 = 104, and 0.25 × 4 = 1 → 104 + 1 = 105

So, 4 boxes

✔ Check: 4 boxes × $26.25 = $105 ✔️

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Problem 3:
Superdeals.com sells 21 ornaments for $7. How much for 33 ornaments?

→ Find cost per ornament:
$7 ÷ 21 = $1/3 ≈ $0.333... per ornament

→ Multiply by 33:
(1/3) × 33 = $11

Alternatively, set up a proportion:
21 ornaments → $7
33 ornaments → x dollars
x = (33 × 7) / 21 = 231 / 21 = 11

✔ Check: 21 × 11 = 231; 33 × 7 = 231 → same ratio ✔️

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Problem 4:
Mall has 6 disabled spaces for every 150 regular spaces. Total parking spaces = 1,000. How many disabled?

→ The ratio is: disabled : total = 6 : (6 + 150) = 6 : 156

But wait — the problem says “for every 150 parking spaces”, meaning 150 includes the 6 disabled? Or are they separate?

Re-read: “six disabled parking spaces for every 150 parking spaces” — this likely means that out of every 150 total spaces, 6 are disabled.

So ratio of disabled to total = 6 / 150

→ Apply to 1,000 total spaces:
Disabled = (6 / 150) × 1000

Simplify 6/150 = 1/25
1/25 × 1000 = 40

✔ Check: 40 disabled out of 1000 → 40/1000 = 4/100 = 1/25 → matches 6/150 = 1/25 ✔️

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Problem 5:
Emily posted 360 videos in 20 weeks at constant rate. How many in 12 weeks?

→ Find rate per week:
360 ÷ 20 = 18 videos per week

→ Multiply by 12 weeks:
18 × 12 = 216 videos

✔ Check: 20 weeks → 360; 12 is 60% of 20 → 60% of 360 = 216 ✔️

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Final Answers:

1) 128 minutes
2) 4 boxes
3) $11
4) 40 disabled spaces
5) 216 videos

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Final Answer:
1) 128 minutes
2) 4 boxes
3) $11
4) 40
5) 216