Mr Raju paid $69 for a watch and 3 ties. The price of a watch was 11/4 of the price of a tie.
Find the cost of a watch.
Let x be the price of a tie in dollars.
Then, the price of a watch is 11/4 times the price of a tie, or (11/4)x dollars.
Mr Raju paid $69 for a watch and 3 ties, so we can write an equation:
(11/4)x + 3x = 69
Simplifying the left side:
(11/4)x + (12/4)x = (23/4)x
Combining like terms:
(23/4)x = 69
Multiplying both sides by 4/23:
x = 12
Therefore, the cost of a tie is $12.
To find the cost of a watch, we can use the expression we found earlier:
(11/4)x = (11/4)($12) = $33/2 = $16.50
So the cost of a watch is $16.50.
Answer: The cost of a watch is $16.50.
Let's assume the cost of a tie is x dollars.
According to the given information, the cost of a watch is 11/4 times the cost of a tie.
Therefore, the cost of the watch is (11/4) * x = (11x) / 4 dollars.
Mr Raju bought 3 ties along with the watch, so the total cost is 3x + (11x/4) dollars.
We also know that the total cost paid by Mr Raju is $69.
Therefore, we can set up the following equation:
3x + (11x/4) = 69
To eliminate the fractions, we can multiply the entire equation by 4, resulting in:
12x + 11x = 276
Combining like terms, we get:
23x = 276
To find the value of x, we divide both sides of the equation by 23:
x = 276 / 23
Simplifying further,
x = 12
Therefore, the cost of a tie is $12.
To find the cost of the watch, we substitute the value of x into our previous equation:
Cost of a watch = (11 * 12) / 4 = 33
Hence, the cost of the watch is $33.
To find the cost of a watch, we can use algebraic reasoning.
Let's assume that the cost of a tie is "x" dollars.
According to the given information, the cost of a watch is 11/4 (11/4 = 2.75) times the cost of a tie.
So, we have the equation:
Cost of a watch = 2.75 * Cost of a tie
Since Mr. Raju bought 3 ties, the total cost of the ties is 3 * x = 3x dollars.
In addition to the cost of the ties, Mr. Raju also paid $69 in total.
Therefore, we can write another equation:
3x (cost of ties) + cost of a watch = $69
Now, we have a system of equations:
2.75x + 3x = $69
To solve this equation, we can combine like terms:
5.75x = $69
Finally, divide both sides of the equation by 5.75 to isolate "x" and find the cost of a tie:
x = $69 / 5.75
Evaluating the expression, we find that x is approximately $12.
Therefore, the cost of a watch is:
2.75 * $12 = $33
Hence, the cost of a watch is $33.