Mr Raju paid $69 for a watch and 3 ties. The price of a watch was 11/4 of the price of a tie.

Question

Find the cost of a watch.

Answer 1

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 2

Answer: The cost of a watch is $16.50.