Of course! Let's solve each of the four decimal word problems step by step.
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Problem i.
> 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 cut off:
- 4 pieces × 4.25 feet each = 4 × 4.25
- 4 × 4.25 = 17 feet
2. Subtract that from the original length:
- 20 feet – 17 feet =
3 feet
✔ Answer: The new length of the tape is 3 feet.
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Problem ii.
> Bill paid $22.44 for four gallons of gas. How much was each gallon of gas?
Solution:
1. Divide the total cost by the number of gallons:
- $22.44 ÷ 4
2. Perform the division:
- 22.44 ÷ 4 = 5.61
✔ Answer: Each gallon of gas cost $5.61.
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Problem iii.
> Brother has $945.82 in his checking account. How much does he have in her account after he makes a deposit of $75.75 and a withdrawal of $265.40?
*(Note: The problem says “her account” but refers to “Brother” — likely a typo. We’ll proceed with the math regardless.)*
Solution:
1. Start with the initial balance: $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 in his account after the deposit and withdrawal.
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Problem iv.
> Angela bought 12 cups, 6 plates, and 6 bowls at the store. The cups cost $2.25 apiece. The plates cost $5.75 apiece. The bowls cost $3.00 apiece. How much does Angela have to pay for all of them?
Solution:
1. Calculate cost of cups:
- 12 cups × $2.25 = 12 × 2.25 = $27.00
2. Calculate cost of plates:
- 6 plates × $5.75 = 6 × 5.75 = $34.50
3. Calculate cost of bowls:
- 6 bowls × $3.00 = 6 × 3.00 = $18.00
4. Add all costs together:
- $27.00 + $34.50 + $18.00 = $79.50
✔ Answer: Angela has to pay $79.50 for all of them.
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✔ Final Answers Summary:
i.
3 feet
ii.
$5.61 per gallon
iii.
$756.17
iv.
$79.50
Let me know if you’d like to see the calculations written out vertically or explained differently!
Parent Tip: Review the logic above to help your child master the concept of decimal word problem worksheet.
