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?

Respuesta :

Answer:

the cost of a liter of milk is [tex]\$0.75[/tex]

the cost of a loaf of bread is [tex]\$1.75[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]3x+5y=11[/tex] ------> equation A

[tex]4x+4y=10[/tex] ------> equation B

Multiply equation A by [tex]-4[/tex]

[tex]-12x-20y=-44[/tex] -------> equation C

Multiply equation B by [tex]3[/tex]

[tex]12x+12y=30[/tex] ------> equation D

Adds equation C and equation D

[tex]-12x-20y=-44\\12x+12y=30\\ ----------\\ -20y+12y=-44+30\\ -8y=-14\\y=\$1.75[/tex]

Find the value of x

substitute the value of y in the equation A

[tex]3x+5(1.75)=11[/tex]

[tex]3x=2.25[/tex]

[tex]x=\$0.75[/tex]

Answer:

liter of milk : $ 0.75

loaf of bread : $ 1.75

Step-by-step explanation:

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