Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Ratio |
Grade: 6-a Lesson: S3-L7 |
Explanation: Let us verify the answer here with the steps. |
Lesson Steps Head1
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Riya, Bhavya, and Chaitra share a bag of peas in the 4 : 3 : 8 ratio. If Chaitra gives \$1/4\$ of her share to Bhavya, Bhavya will have 14 more peas than Riya. How many peas are there altogether? |
|
2 |
Hint |
Given the equation each ratio is considered as 'x' and the total value is 'y' |
|
3 |
Step |
The total value of peas is equal to the sum of ratios |
4x + 3x+ 8x = y |
4 |
Step |
So, Bhavya’s share is 3x + 2x = 5x |
|
5 |
Step |
After addition, share we get |
4x + 5x + 6x = y |
6 |
Step |
After receiving 2x, Bhavya now has 5x peas. Bhavya has 14 more peas than Riya; that is : 5x - 4x = 14 |
|
7 |
Step |
After simplifying, we get |
x = 14 |
8 |
Step |
Substitute the x value in the y equation, then simplify |
4(14) + 3(14) + 8(14) = y 56 + 42 + 112 = y 210 = y |
9 |
Step |
The total value of peas alltogether is |
210 |
10 |
Answer |
A |
|
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