Let’s solve each problem step by step, with clear explanations.
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Problem 1:
> At the state fair 4 employees were paid $8.18 an hour. They worked for 10 hours at regular price and then for 3 hours at overtime rate (an extra $2.18 an hour). How much money did they make total?
Step-by-step:
- Regular pay per hour = $8.18
- Overtime pay per hour = $8.18 + $2.18 =
$10.36
Each employee worked:
- 10 hours regular → 10 × $8.18 =
$81.80
- 3 hours overtime → 3 × $10.36 =
$31.08
Total per employee = $81.80 + $31.08 =
$112.88
There are 4 employees → 4 × $112.88 =
$451.52
✔ Answer: $451.52
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Problem 2:
> At noon the temperature was -3° C. Over the next four hours the temperature dropped another 15 degrees. Then every hour until 7:00 the temperature rose 2 degrees. What was the temperature at 7:00?
Step-by-step:
- Start at noon:
-3°C
- Drops 15° over next 4 hours → -3 - 15 =
-18°C (at 4:00 PM)
From 4:00 PM to 7:00 PM is
3 hours.
Each hour rises 2° → 3 × 2 =
+6°C
So, -18 + 6 =
-12°C
✔ Answer: -12°C
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Problem 3:
> Paige was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start of round 3 she was at -700 points. During the round she answered eight 400 point questions correct and she answered nine 600 points questions incorrect. What was her score at the end of the round?
Step-by-step:
Start:
-700 points
Correct answers: 8 × 400 =
+3200 points
Incorrect answers: 9 × 600 =
-5400 points (since you *lose* points for incorrect)
Total change: +3200 - 5400 =
-2200
Final score: -700 + (-2200) =
-2900
✔ Answer: -2900 points
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Problem 4:
> Rachel and 4 friends were going to the movies. Each ticket cost $11 and then they bought 2 popcorns at $5.5 a piece and then each person bought their own soda at $3.75 each. How much money did they spend total for their trip to the movies?
Step-by-step:
Total people = Rachel + 4 friends =
5 people
- Movie tickets: 5 × $11 =
$55
- Popcorn: 2 × $5.50 =
$11.00 (note: it says “they bought 2 popcorns” — so shared, not per person)
- Sodas: 5 × $3.75 =
$18.75
Total = $55 + $11 + $18.75 =
$84.75
✔ Answer: $84.75
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Problem 5:
> A restaurant chef was ordering supplies. He ordered 4 pounds of beef at $9.25 per pound, 6 pounds of potatoes at $6.96 a pound and 5 pounds of carrots at $9.81 per pound. He estimates that this will make 28 meals. If he charges $8.32 per meal how much profit will he make?
Step-by-step:
First, calculate
total cost:
- Beef: 4 × $9.25 =
$37.00
- Potatoes: 6 × $6.96 =
$41.76
- Carrots: 5 × $9.81 =
$49.05
Total cost = 37.00 + 41.76 + 49.05 =
$127.81
Now, calculate
total revenue:
28 meals × $8.32 = Let’s compute:
28 × 8.32 =
= 28 × 8 + 28 × 0.32
= 224 + 8.96
=
$232.96
Profit = Revenue - Cost = 232.96 - 127.81 =
$105.15
✔ Answer: $105.15
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✔ Final Answers:
1.
$451.52
2.
-12°C
3.
-2900 points
4.
$84.75
5.
$105.15
You can fill these into the "Answers" column on your worksheet.
Parent Tip: Review the logic above to help your child master the concept of rational numbers word problems worksheet.
