Ratio and proportion - direct proportion worksheet - Free Printable

Let's solve each of these direct proportion problems step by step. In direct proportion, as one quantity increases, the other increases at a constant rate.

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1. A woman drinks 7 bottles of water in a day. How many bottles of water would she consume in 3 days?

Solution:
- She drinks 7 bottles per day.
- For 3 days:
$ 7 \text{ bottles/day} \times 3 \text{ days} = 21 \text{ bottles} $

✔ Answer: 21 bottles

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2. Suzie gets paid $1600 for 2 hours of babysitting. How much pay should she get if she babysits for 5 hours?

Step 1: Find her hourly rate
$ \frac{1600}{2} = 800 $ dollars per hour

Step 2: Multiply by 5 hours
$ 800 \times 5 = 4000 $

✔ Answer: $4000

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3. A cat eats off 6 cans of cat-food in 2 days. How much cat-food would the same cat consume in 3 days?

Step 1: Find daily consumption
$ \frac{6 \text{ cans}}{2 \text{ days}} = 3 \text{ cans/day} $

Step 2: Multiply by 3 days
$ 3 \times 3 = 9 $ cans

✔ Answer: 9 cans

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4. Rita eats 2 slices of pizza for every can of soda drunk. If she drank 5 cans of soda, how many pizzas did she eat?

Note: The question says "how many pizzas", but it gives slices. Assuming 1 pizza = 2 slices (standard), or maybe it just wants total slices?

But let’s read carefully:
She eats 2 slices per can of soda → so for 5 cans:

$ 2 \text{ slices/can} \times 5 \text{ cans} = 10 \text{ slices} $

Now, if 1 pizza = 2 slices, then:
$ \frac{10}{2} = 5 $ pizzas

So, she ate 5 pizzas.

✔ Answer: 5 pizzas

*(Assuming 2 slices make one pizza)*

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5. Brian’s secretary said she uses 2 ink cartridges every 3 months to print reports. How many cartridges would she require over 9 months?

Step 1: Find how many 3-month periods are in 9 months
$ \frac{9}{3} = 3 $ periods

Step 2: Each period uses 2 cartridges
$ 2 \times 3 = 6 $ cartridges

✔ Answer: 6 cartridges

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✔ Final Answers:

1. 21 bottles
2. $4000
3. 9 cans
4. 5 pizzas
5. 6 cartridges

All problems use direct proportion — when one quantity increases, the other increases proportionally. We used multiplication based on unit rates.

Let me know if you'd like these explained using ratios or cross-multiplication!