Question

Bhavik bought 333 liters of milk and 555 loaves of bread for a total of \$11$11dollar sign, 11. A month later, he bought 444 liters of milk and 444 loaves of bread at the same prices, for a total of \$10$10dollar sign, 10. How much does a liter of milk cost, and how much does a loaf of bread cost?

Answer 1

Let the price of 1 litre of milk be  x$
Let the price of 1 loaf of bread be y$
According to the problem
333x + 555y =11
444x+444y=10
On subtracting the two,
We get
(333x+555y=11) * 444
(444x+444y= 10) * 333
(-)     (-)         (-)
147852x + 246420y =4884
147852x + 147852y = 3330
(-)            (-)                  (-)
------------------------------                   
  98568y = 1554     
            y = 1554/98568     
               = 0.0157$         
                  =0.02$   
Price of 1 loaf of bread= 2 cents    
On putting the value of y 
333x + 555*0.0157 = 11333x  + 8.7135 = 11333x = 2.2865x = 2.2865/333x = 0.00068$   = 0.01$
Price of 1 litre of milk = 1 cent