This worksheet challenges students to apply proportional reasoning to everyday situations, from calculating costs to estimating time.

Let's solve each of these proportion word problems step by step.

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1) While at a camping site, Coach John and his team pitched 12 tents in 192 minutes. How long did they take to pitch 8 tents?

Step 1: Find the rate of pitching tents.

They pitched 12 tents in 192 minutes.

So, time per tent =
$$
\frac{192 \text{ minutes}}{12 \text{ tents}} = 16 \text{ minutes per tent}
$$

Step 2: Multiply by 8 tents:

$$
8 \text{ tents} \times 16 \text{ minutes/tent} = 128 \text{ minutes}
$$

✔ Answer: 128 minutes

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2) Mary bought a box of 15 donuts for $26.25. How many boxes of donuts can she buy for $105?

Step 1: Find the cost per box.

Each box costs $26.25.

Now, divide total money by cost per box:

$$
\frac{105}{26.25} = 4
$$

✔ Answer: 4 boxes

*(Check: 4 × $26.25 = $105 — correct)*

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3) Superdeals.com offers a pack of 21 Christmas tree ornaments for $7. How much will a customer pay to purchase 33 such ornaments?

Step 1: Find the cost per ornament.

$$
\frac{7}{21} = \$0.333... \text{ per ornament (or } \frac{1}{3} \text{ dollar)}
$$

Step 2: Multiply by 33 ornaments:

$$
33 \times \frac{7}{21} = 33 \times \frac{1}{3} = 11
$$

Alternatively:
Set up a proportion:
$$
\frac{21}{7} = \frac{33}{x} \Rightarrow 21x = 231 \Rightarrow x = 11
$$

✔ Answer: $11

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4) A mall has six disabled parking spaces for every 150 parking spaces. If there are 1,000 parking spaces in all, what is the number of disabled parking spaces?

Step 1: Set up a proportion:

$$
\frac{6}{150} = \frac{x}{1000}
$$

Step 2: Solve for $x$:

Cross-multiply:
$$
6 \times 1000 = 150x \Rightarrow 6000 = 150x \Rightarrow x = \frac{6000}{150} = 40
$$

✔ Answer: 40 disabled parking spaces

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5) Emily, an avid vlogger, posted a total of 360 videos in 20 weeks. If she posted the videos at a constant rate, how many videos did she upload in 12 weeks?

Step 1: Find the rate of videos per week.

$$
\frac{360 \text{ videos}}{20 \text{ weeks}} = 18 \text{ videos per week}
$$

Step 2: Multiply by 12 weeks:

$$
18 \times 12 = 216
$$

✔ Answer: 216 videos

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✔ Final Answers:

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

Let me know if you'd like these explained with diagrams or equations!