Let's solve each of the decimal word problems step by step.
---
i.
Problem:
If a 20-foot piece of electrical tape has four pieces that are each 4.25 feet cut from it, what is the new length of the tape?
Solution:
1. First, calculate the total length of tape that was cut:
$$
4 \times 4.25 = 17.00 \text{ feet}
$$
2. Subtract this from the original length:
$$
20.00 - 17.00 = 3.00 \text{ feet}
$$
✔ Answer: The new length of the tape is
3.00 feet.
---
ii.
Problem:
Bill paid $22.44 for four gallons of gas. How much was each gallon of gas?
Solution:
To find the cost per gallon, divide the total cost by the number of gallons:
$$
\frac{22.44}{4} = 5.61
$$
✔ Answer: Each gallon of gas cost
$5.61.
---
iii.
Problem:
Brother has $945.82 in his checking account. How much does he have in his account after he makes a deposit of $75.75 and a withdrawal of $265.40?
Solution:
1. Start with the initial amount:
$$
945.82
$$
2. Add the deposit:
$$
945.82 + 75.75 = 1021.57
$$
3. Subtract the withdrawal:
$$
1021.57 - 265.40 = 756.17
$$
✔ Answer: He has
$756.17 left in his account.
---
iv.
Problem:
Angela bought 12 cups, 6 plates, and 6 bowls at the store.
- Cups cost $2.25 apiece
- Plates cost $5.75 apiece
- Bowls cost $3.00 apiece
How much does Angela have to pay for all of them?
Solution:
1.
Cost of cups:
$$
12 \times 2.25 = 27.00
$$
2.
Cost of plates:
$$
6 \times 5.75 = 34.50
$$
3.
Cost of bowls:
$$
6 \times 3.00 = 18.00
$$
4.
Total cost:
$$
27.00 + 34.50 + 18.00 = 79.50
$$
✔ Answer: Angela has to pay
$79.50 in total.
---
✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| i. | 3.00 feet |
| ii. | $5.61 per gallon |
| iii. | $756.17 |
| iv. | $79.50 |
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Parent Tip: Review the logic above to help your child master the concept of decimals word problems worksheet.
