Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Ratio & Proportion |
Grade: 1300-a Lesson: S4-L7 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
If a : b is 3 : 4 and b : c is 2 : 5. Find a: b: c. |
|
2 |
Step |
Given that |
a : b = 3 : 4 & b : c = 2 : 5 |
3 |
Step |
Ratio 1 Ratio 2 |
\$3 : 4\$ \$2 : 5\$ |
4 |
Step |
The common element in both ratios is |
b |
5 |
Step |
Multiply the second ratio by 2 and the second ratio by 4: |
\$(3 \times 2) : (4 \times 2)\$ = 6 : 8 \$(2 \times 4) : (5 \times 4)\$ = 8 : 20 |
6 |
Step |
Combined ratio of a: b: c is: |
6 : 8 : 20 |
7 |
Step |
Divide all terms by 2 to simplify the ratio |
3 : 4 : 10 |
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
9 |
Choice.A |
Incorrect, as it doesn’t follow the given ratios |
3 : 2 : 5 |
10 |
Choice.B |
Incorrect, as it doesn’t follow the given ratios |
3 : 6 : 5 |
11 |
Choice.C |
The given individual ratios are correctly combined in the ratio |
3 : 4 : 10 |
12 |
Choice.D |
Incorrect, as it doesn’t follow the given ratios |
2 : 3 : 4 |
13 |
Answer |
Option |
C |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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