Here is the solution to each of the decimal word problems, with a clear explanation for each:
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Problem 1:
> Melina purchased $390 in groceries. He gave the cashier a $500 currency. How much balance should she get from the cashier?
Note: There’s a small error in the pronoun — it says “He” and then “she”. We’ll assume it’s one person, and the intended question is about the change due.
Solution:
To find the balance (change) Melina should receive, subtract the cost of the groceries from the amount she paid.
Calculation:
$500.00 - $390.00 =
$110.00
✔ Answer: $110.00
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Problem 2:
> Daniel has $4,000 in her bank account. She has to pay $200 as a loan for 3 months to a finance company. At the end of 3 months how much her account will have as balance?
Note: Again, there’s a mismatch — “Daniel” (typically male) and “her”. But we’ll proceed with the math.
Solution:
Daniel pays $200 from her account. So we subtract that payment from the initial balance.
Calculation:
$4,000.00 - $200.00 =
$3,800.00
✔ Answer: $3,800.00
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Problem 3:
> Henry studied a total of 54.9 hours in 6 days. On average, how many hours did he study each day?
Solution:
To find the average number of hours per day, divide the total hours by the number of days.
Calculation:
54.9 ÷ 6 = ?
Let’s do the division:
- 6 goes into 54 nine times → 9
- Bring down the .9 → 0.9
- 6 goes into 9 once (with remainder) → 0.15
So, 54.9 ÷ 6 =
9.15
✔ Answer: 9.15 hours per day
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Problem 4:
> Rob bought 16 dresses for $1,050 and 8 deodorants for $650. How much did she spend in all?
Note: Pronoun mismatch again — “Rob” and “she”. We’ll focus on the math.
Solution:
Add the two amounts spent together to find the total.
Calculation:
$1,050.00 + $650.00 =
$1,700.00
✔ Answer: $1,700.00
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✔ Final Answers:
1.
$110.00
2.
$3,800.00
3.
9.15 hours
4.
$1,700.00
Let me know if you’d like to see the step-by-step long division or any other details!
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals word problems worksheet 5th grade.
