Ratio Basics Explained
The ribbon is cut into three pieces with lengths represented by the ratio 2:3:5. This means the lengths can be written as $2x$, $3x$, and $5x$, where $x$ is a common multiplier.
Identifying the Longest Piece
The largest number in the ratio is 5. Therefore, the longest piece corresponds to the term $5x$.
Calculating the Multiplier
We are given that the length of the longest piece is 20 cm. We set up the equation:
$5x = 20 \text{ cm}$
To find the value of $x$, we divide both sides by 5:
$x = \frac{20 \text{ cm}}{5} = 4 \text{ cm}$
Determining the Total Length
The total length of the ribbon is the sum of the lengths of all three pieces:
Total Length = $2x + 3x + 5x = 10x$
Now, substitute the value of $x$ we found:
Total Length = $10 \times (4 \text{ cm}) = 40 \text{ cm}$
Conclusion
The total length of the ribbon is 40 cm.
Similar Questions
If \((x+y):(x-y)=5:2\), find \((x^3+y^3):(x^3-y^3)\)
What should be subtracted from 7, 9, 8, 11 so that the remaining numbers may be proportional?
- Three numbers are such that the second is 150% of the first, and the third is 80% of the second. What is the ratio of the first to the third?
The present ages (in years) of A and B are in the ratio of 3:4. Five years back, the ratio of their ages was 2:3. What is the present age (in years) of A?
The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9:5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
If 20% of (P + Q) = 50% of (P – Q), then find the ratio P : Q.
If \(A:B = 2:3\) and \(B:C = 4:5\), find \(A:C\).
Rs. 640 shared among 8 people. 2 back out. What's new share per person?
Two numbers are in the ratio 5:7. If 9 is added to each, the new ratio becomes 8:11. What are the original numbers?
A:B = 3:4, B:C = 6:7, C:D = 14:15. What is the ratio A:D?
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
