Question

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11 A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10 How much does a liter of milk cost, and how much does a loaf of bread cost?

Answer 1

A liter of milk cost $0.75 and a loaf of bread cost $1.75

Explanation:

Let the liters of milk by represented by m

Let the loaves of bread by represented by b

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11

3m + 5b = 11...... Equation 1

A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10

4m + 4b = 10.... Equation 2

Combining the Equations

3m + 5b = 11...... Equation 1

4m + 4b = 10.... Equation 2

We solve using the Elimination method

Multiply Equation 1 by 4 and Equation 2 by 3 to eliminate m

12m + 20b = 44..... Equation 3

12m + 12b = 30....... Equation 4

Substract Equation 4 from Equation 3

8b = 14

b = 14/8

b = $1.75

Solving for m

3m + 5b = 11...... Equation 1

3m + 5($1.75) = 11

3m + $8.75 = $11

3m = $11 -$ 8.75

3m =$ 2.25

m =$ 2.25/3

m = $0.75

Therefore,

a liter of milk cost $0.75 and a loaf of bread cost $1.75