Introduction to ways to help to learn ratios:
The ratios contain the fractional numbers. The ratio of two numbers a and b in the same units is the fractions a/b, it can be written as a: b., where a represent the antecedent and b represent the consequent. We can represent (a: b)> (c: d) as (a/ b)> (c/ d). The multiplication and division of the terms of the ratio by the same number does not affect the ratio.
I like to share this Rates and Ratios with you all through my article.
Example problem for learn ratios:
Example 1 to learn ratios:
Divide 350 in the ratio 2:3.
Solution:
The sum of the ratio terms = 2+3=5
For the ratio 2,
First part= 350 x (`2/5` ) =140
For the ratio 3,
Second part= 350 x (`3/5` ) =210
Example 2 to learn ratios:
A mixture has the alcohol and water in the ratio of 4:2. If 5 liters of the water is mixed with the mixture, the ratios can be changed to 4:5. What is the quantity of alcohol in that mixture?
Solution:
Let the quantity of alcohol and water is 4x liters and 2x liters respectively. Then the ratio is,
`(4x)/(2x+5)`= `(4)/(5)`
20x =4(2x+5)
20x= 8x+ 20
28x=20
x=0.71
The quantity of the alcohol =4x 0.71 = 2.8 liters.
Example 3 to learn ratios:
Find the simplified ratio for 49: 324.
Solution:
The given ratio is 49: 324
The above ratio can be written as 72: 182.
The ratio can be simplified as 7: 18.
The ratio 121: 169 can be simplified as 11: 13.
Understanding Multiplying Fractional Exponents is always challenging for me but thanks to all math help websites to help me out.
Practice problem for learn ratios:
A bag consists of 50 p, 25 p and 10 p coins in the ratio of 2: 3: 4, amounting to Rs. 206. What is the number of coins of each type?
Answer: 50 p coins are 192, 25 p coins are 288 and 10 p coins are 384.
Worker A takes 2 hours to do a particular work. Worker B takes 5 hours to do the same work. How long it take both of them A and B, working jointly but independently to do the same work?
Answer: `10/7 ` days
A and B together can complete a piece of work in 6 days. If A alone can finish the same work in 12 days, in how many days can B alone complete that work?
Answer: 12 days
The ratios contain the fractional numbers. The ratio of two numbers a and b in the same units is the fractions a/b, it can be written as a: b., where a represent the antecedent and b represent the consequent. We can represent (a: b)> (c: d) as (a/ b)> (c/ d). The multiplication and division of the terms of the ratio by the same number does not affect the ratio.
I like to share this Rates and Ratios with you all through my article.
Example problem for learn ratios:
Example 1 to learn ratios:
Divide 350 in the ratio 2:3.
Solution:
The sum of the ratio terms = 2+3=5
For the ratio 2,
First part= 350 x (`2/5` ) =140
For the ratio 3,
Second part= 350 x (`3/5` ) =210
Example 2 to learn ratios:
A mixture has the alcohol and water in the ratio of 4:2. If 5 liters of the water is mixed with the mixture, the ratios can be changed to 4:5. What is the quantity of alcohol in that mixture?
Solution:
Let the quantity of alcohol and water is 4x liters and 2x liters respectively. Then the ratio is,
`(4x)/(2x+5)`= `(4)/(5)`
20x =4(2x+5)
20x= 8x+ 20
28x=20
x=0.71
The quantity of the alcohol =4x 0.71 = 2.8 liters.
Example 3 to learn ratios:
Find the simplified ratio for 49: 324.
Solution:
The given ratio is 49: 324
The above ratio can be written as 72: 182.
The ratio can be simplified as 7: 18.
The ratio 121: 169 can be simplified as 11: 13.
Understanding Multiplying Fractional Exponents is always challenging for me but thanks to all math help websites to help me out.
Practice problem for learn ratios:
A bag consists of 50 p, 25 p and 10 p coins in the ratio of 2: 3: 4, amounting to Rs. 206. What is the number of coins of each type?
Answer: 50 p coins are 192, 25 p coins are 288 and 10 p coins are 384.
Worker A takes 2 hours to do a particular work. Worker B takes 5 hours to do the same work. How long it take both of them A and B, working jointly but independently to do the same work?
Answer: `10/7 ` days
A and B together can complete a piece of work in 6 days. If A alone can finish the same work in 12 days, in how many days can B alone complete that work?
Answer: 12 days
