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

The cost of 1 liter milk is $ 0.75 and the cost of a loaf of bread is $1.75

Explanation:

Answer 2

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

1.5