Let's solve each of these
average word problems step by step, showing the number sentence and working.
---
Problem 1:
3 friends work part-time at Mc Ronnies and earn $150, $300, and $180 per month respectively. What is their average monthly earnings?
Step 1: Add all the earnings.
$$
150 + 300 + 180 = 630
$$
Step 2: Divide by the number of friends (3).
$$
630 ÷ 3 = 210
$$
✔ Answer: Their average monthly earnings are
$210.
---
Problem 2:
4 businessmen invested $20,000, $25,000, $16,000, and $3,000 respectively. What was their average investment?
Step 1: Add all investments.
$$
20,000 + 25,000 + 16,000 + 3,000 = 64,000
$$
Step 2: Divide by the number of businessmen (4).
$$
64,000 ÷ 4 = 16,000
$$
✔ Answer: Their average investment was
$16,000.
---
Problem 3:
Peter played an online Pinball game. The first time he got a score of 25,000 points. He scored 125,000 points the second time and 30,000 the third time he played. What was his average score per game?
Step 1: Add all scores.
$$
25,000 + 125,000 + 30,000 = 180,000
$$
Step 2: Divide by the number of games (3).
$$
180,000 ÷ 3 = 60,000
$$
✔ Answer: His average score per game was
60,000 points.
---
Problem 4:
Jenny read 12 pages on Monday, 25 pages on Tuesday, and a couple of pages on Wednesday. On the average, she read 23 pages per day during these 3 days. How many pages did she read on Wednesday?
Step 1: Let the pages read on Wednesday be $ x $.
Step 2: Use the average formula:
$$
\text{Average} = \frac{\text{Total pages}}{\text{Number of days}}
$$
$$
23 = \frac{12 + 25 + x}{3}
$$
Step 3: Multiply both sides by 3:
$$
69 = 37 + x
$$
Step 4: Solve for $ x $:
$$
x = 69 - 37 = 32
$$
✔ Answer: She read
32 pages on Wednesday.
---
Problem 5:
Peter has taken 3 math tests so far this semester with an average score of 60 points per test. If he gets a score of 100 points for his next test, what will his new average score be?
Step 1: Find total points from first 3 tests:
$$
\text{Average} = 60 → \text{Total} = 60 × 3 = 180
$$
Step 2: Add the new test score:
$$
180 + 100 = 280
$$
Step 3: Now divide by total number of tests (4):
$$
280 ÷ 4 = 70
$$
✔ Answer: His new average score will be
70 points.
---
Problem 6:
A car drove 2 hours at a speed of 100 km per hour and 3 hours at a speed of 50 km per hour. What was the average speed of the car during this trip?
⚠️
Important Note: Average speed is
total distance ÷ total time, not the average of speeds.
Step 1: Calculate distance for each part.
- First part: $ 2 \text{ hrs} × 100 \text{ km/h} = 200 \text{ km} $
- Second part: $ 3 \text{ hrs} × 50 \text{ km/h} = 150 \text{ km} $
Step 2: Total distance:
$$
200 + 150 = 350 \text{ km}
$$
Step 3: Total time:
$$
2 + 3 = 5 \text{ hours}
$$
Step 4: Average speed:
$$
350 ÷ 5 = 70 \text{ km/h}
$$
✔ Answer: The average speed was
70 km/h.
---
✔ Final Answers Summary:
1.
$210
2.
$16,000
3.
60,000 points
4.
32 pages
5.
70 points
6.
70 km/h
Let me know if you'd like these formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of word problems for grade 6 math worksheet.
