Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Ratio |
Grade: 6-a Lesson: S3-L8 |
Explanation: Let us verify the answer here with the steps. |
Lesson Steps Head1
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
If the ratio of two-wheeler vehicles to three-wheeler vehicles in a city is 35:45. Find the total number of three-wheeler vehicles if the total number of two-wheeler vehicles is 280? |
|
2 |
Step |
Consider the total value three-wheeler vehicles as 'x' |
|
3 |
Step |
The ratio of two-wheelers vehicles to three-wheeler vehicles is |
35 : 45 |
4 |
Step |
The total number of two-wheeler vehicles is |
280 |
5 |
Step |
The ratio value of two-wheeler vehicles is equal to the total number of two-wheeler vehicles |
35 = 280 |
6 |
Step |
The ratio value of three-wheeler vehicles is equal to the total number of two-wheeler vehicles |
45 = x |
7 |
Step |
The relationship between both rations is some |
35 : 45 = 280 : x |
8 |
Step |
After simplification, we get |
\$ cancel35^7 / cancel45^9 = 280/x\$ \$7 times x = 9 times 280\$ 7x = 2520 |
9 |
Step |
Move the x coefficient to the right side |
x = \$2520/7\$ x = 360 |
10 |
Step |
The total value of the three-wheeler vehicles is |
360 |
11 |
Answer |
D |
|
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