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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?

Verified Answer :

calculista

Answer:

the cost of a liter of milk is \(\$0.75\)

the cost of a loaf of bread is \(\$1.75\)

Step-by-step explanation:

Let

x------> the cost of a liter of milk

y------> the cost of a loaf of bread

we know that

\(3x+5y=11\) ------> equation A

\(4x+4y=10\) ------> equation B

Multiply equation A by \(-4\)

\(-12x-20y=-44\) -------> equation C

Multiply equation B by \(3\)

\(12x+12y=30\) ------> equation D

Adds equation C and equation D

\(-12x-20y=-44\\12x+12y=30\\ ----------\\ -20y+12y=-44+30\\ -8y=-14\\y=\$1.75\)

Find the value of x

substitute the value of y in the equation A

\(3x+5(1.75)=11\)

\(3x=2.25\)

\(x=\$0.75\)

Answer:

liter of milk : $ 0.75

loaf of bread : $ 1.75

Step-by-step explanation:

Khan academy says so

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