kuheli said:hi ,
this is one simple math but i am not getting the answer.
the work done by (x-3) men in (2x+1) days and the work done by (2x+1)men in (x+4) days are in the ratio of 3:10.find the value of 'x'.
Amer said:suppose the amount of work done by a man per day is y
(x-3) men done y(x-3) per day, and y(x-3)(2x+1) per (2x+1) days
Total work done by the first group is y(x-1)(2x+1)
In same manner the other group will do y(2x+1)(x+4)
we have to solve this equation
[tex]\frac{y(2x+1)(x-1)}{y(2x+1)(x+4)} = \frac{3}{10}[/tex]
A ratio word problem is a type of mathematical problem that involves finding a missing value in a ratio or proportion equation. The problem will usually provide two known values and ask you to find the missing value, represented by x.
The first step in solving a ratio word problem is to identify the known values and the missing value represented by x. Then, use the given information to set up a ratio or proportion equation. Finally, solve the equation for x by cross-multiplying or using other algebraic techniques.
Some common strategies for solving ratio word problems include setting up a proportion equation, using equivalent ratios, and using the unitary method. It is also helpful to visualize the problem and break it down into smaller, simpler parts.
One common mistake when solving ratio word problems is misinterpreting the given information. Make sure to carefully read and understand the problem before attempting to solve it. It is also important to label the known values and the missing value correctly and to double-check your calculations.
To check your answer to a ratio word problem, plug your solution back into the original equation and see if it makes the equation true. You can also use estimation to check if your answer is reasonable. If your answer is significantly different from the estimated value, you may need to recheck your calculations.