Let's solve each of these
Grade 6 Decimal Word Problems step by step.
---
1. Fruit Salad
Sarrah is mixing:
- 0.75 kg strawberries
- 0.5 kg blueberries
- 0.25 kg grapes
Total fruit needed = 0.75 + 0.5 + 0.25
= (0.75 + 0.25) + 0.5 = 1.0 + 0.5 =
1.5 kilograms
✔ Answer: 1.5 kilograms
---
2. Recipe Scaling
Original recipe makes
20 cookies and uses
0.75 cups of sugar.
She wants to make
35 cookies.
We can set up a proportion:
$$
\frac{0.75 \text{ cups}}{20 \text{ cookies}} = \frac{x}{35 \text{ cookies}}
$$
Solve for $x$:
$$
x = \frac{0.75 \times 35}{20} = \frac{26.25}{20} = 1.3125 \text{ cups}
$$
✔ Answer: 1.3125 cups (or
1 5/16 cups if converted)
---
3. Running Track
Track length = 1.25 km
Tim runs
3 laps
Total distance = 3 × 1.25 =
3.75 kilometers
✔ Answer: 3.75 kilometers
---
4. Party Balloons
Laure bought
2.5 meters of ribbon.
Each balloon requires
0.15 meters.
Number of balloons = Total ribbon ÷ Ribbon per balloon
= 2.5 ÷ 0.15
To divide decimals, multiply numerator and denominator by 100:
$$
\frac{2.5}{0.15} = \frac{250}{15} = 16.\overline{6}
$$
Since she can't tie a fraction of a balloon, we take the
whole number part:
✔ Answer: 16 balloons
---
5. Juice Mix
Ratio:
1:4 (orange juice : apple juice)
Orange juice = 0.6 liters
So, for every 1 part orange juice, use 4 parts apple juice.
Apple juice = 4 × 0.6 =
2.4 liters
✔ Answer: 2.4 liters
---
6. Swimming Pool
Length = 5.25 meters
Width = 3.5 meters
Area = Length × Width
= 5.25 × 3.5
Break it down:
$$
5.25 × 3.5 = (5 + 0.25) × 3.5 = 5×3.5 + 0.25×3.5 = 17.5 + 0.875 = 18.375
$$
✔ Answer: 18.375 square meters
---
7. Library Books
Each shelf holds
12.5 kg, and each book weighs
0.75 kg.
Number of books per shelf = 12.5 ÷ 0.75
$$
\frac{12.5}{0.75} = \frac{1250}{75} = 16.\overline{6}
$$
Again, only whole books can be stored →
16 books
✔ Answer: 16 books
---
8. Money Exchange
Lisa exchanges
100 US dollars at rate:
1 USD = 0.85 euros
Euros received = 100 × 0.85 =
85 euros
✔ Answer: 85 euros
---
9. Bike Ride
Emma bikes
12.5 km in
0.75 hours
Average speed = Distance ÷ Time
= 12.5 ÷ 0.75
$$
\frac{12.5}{0.75} = \frac{1250}{75} = 16.\overline{6} \approx 16.67 \text{ km/h}
$$
✔ Answer: 16.67 kilometers per hour
---
10. Party Planning
Mike wants
3.75 liters of soda.
Each bottle =
0.5 liters
Number of bottles = 3.75 ÷ 0.5 =
7.5
But he can’t buy half a bottle → must round up to
8 bottles
✔ Answer: 8 bottles
---
✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1 | 1.5 kg |
| 2 | 1.3125 cups |
| 3 | 3.75 km |
| 4 | 16 balloons |
| 5 | 2.4 liters |
| 6 | 18.375 m² |
| 7 | 16 books |
| 8 | 85 euros |
| 9 | 16.67 km/h |
| 10 | 8 bottles |
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of 6th grade decimal word problems worksheet.
