Let’s solve this step by step.
We are given a table with some numbers filled in, and we need to find the missing values. The table shows how many males and females study Biology, Chemistry, and Physics — and totals for each row and column.
Here’s what we know:
Females:
- Biology: 13
- Chemistry: ?
- Physics: ?
- Total: ?
Males:
- Biology: 17
- Chemistry: 19
- Physics: ?
- Total: 53
Totals (bottom row):
- Biology total: ?
- Chemistry total: ?
- Physics total: 45
- Grand total: 100
---
Step 1: Find total number of females
Total students = 100
Total males = 53
So, total females = 100 - 53 =
47
→ Fill in “Females” total as
47
---
Step 2: Find female Chemistry + Physics
Females total = 47
Females Biology = 13
So, females in Chemistry + Physics = 47 - 13 =
34
We don’t know them separately yet — let’s hold that.
---
Step 3: Find male Physics
Males total = 53
Males Biology = 17
Males Chemistry = 19
So, males Physics = 53 - 17 - 19 =
17
→ Fill in “Males - Physics” as
17
---
Step 4: Find total Physics
Physics total is given as 45
Male Physics = 17
So, Female Physics = 45 - 17 =
28
→ Fill in “Females - Physics” as
28
---
Step 5: Now find female Chemistry
From Step 2: Females Chemistry + Physics = 34
We now know Female Physics = 28
So, Female Chemistry = 34 - 28 =
6
→ Fill in “Females - Chemistry” as
6
---
Step 6: Find column totals
Biology total = Female Biology + Male Biology = 13 + 17 =
30
Chemistry total = Female Chemistry + Male Chemistry = 6 + 19 =
25
Physics total = already given as 45 → check: 28 + 17 = 45
✔
Grand total = 30 + 25 + 45 = 100
✔
Also, Females total = 13 + 6 + 28 = 47
✔
Males total = 17 + 19 + 17 = 53
✔
Everything checks out!
---
Final Answer:
The completed table is:
| | Biology | Chemistry | Physics | Total |
|----------|---------|-----------|---------|-------|
| Females | 13 | 6 | 28 | 47 |
| Males | 17 | 19 | 17 | 53 |
| Total | 30 | 25 | 45 | 100 |
Parent Tip: Review the logic above to help your child master the concept of two way tables worksheet.
