Question

Bhavik bought 33 liters of milk and 55 loaves of bread for a total of \$11$11. A month later, he bought 44 liters of milk and 44 loaves of bread at the same prices, for a total of \$10$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

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

Explanation:

Let the cost of one liter of milk is m dollar and the cost of one loaf of bread is b dollar.

Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11

That is, 3 m + 5 b = 11 ----------(1)

And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10

That is, 4 m + 4 b = 10 -----------(2)

4 × Equation (1),

12 m + 20 b = 44 -----------(3)

3 × Equation (2),

12 m + 12 b = 30 --------------(4)

Equation (3) - Equation (4),

We get, 8 b = 14

⇒ b = 14/8 = 1.75

By putting the value of b in equation (1)

We get,

3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75

Thus, the price of one liter of milk = $ 0.75

And, the price of one loaf = $ 1.75