Math problem????!!!!!!!!!!!?

Question

a dozen eggs and a gallon of milk cost 3.40. six eggs and 2 gallons of milk cost 5.45. what is the cost of the gallon of milk?
plz show me steps on how to do it and also find the cost of 1 dozen eggs thanks!!! i couldnt get it, it was confusing. plz help

Answer 1

let E = number of eggs, and G = gallons of milk

12E + 1G = 3.40
6E + 2G = 5.45 -> 12E + 4G = 10.90
-> 12E = 10.90 - 4G

substitute into first equation:

10.90 - 4G + 1G = 3.40
3G = 7.50
G = 2.50

so a gallon of milk costs $2.50

Answer 2

x = dozen eggs
y = mil

x+y=3.40$
x/2 + 2y = 5.45$
i think a dozen eggs is 12 -.-
so isolate x in 1 equation
x=3.40-y
than put this x in the other equation
(3.40-y)/2 +2y = 5.45 than isolate y
3.40-y +4y = 10.90
3y = 7.50
y= 2.50 so 1 gallon of milk is 2.50$ and
x + y = 3.40 so x= 3.40 - 2.50 = 0.90$ for 12 eggs

Answer 3

Let x be the cost of a dozen eggs.
Let y be the cost of a gallon of milk.

x + y = 3.40
0.5x + 2y = 5.45

From the first equation, we get y = 3.40 - x
Plug that into the second equation:
0.5x + 2*(3.40 - x) = 5.45
0.5x + 6.80 - 2x = 5.45
-1.5x + 6.80 = 5.45
-1.5x =5.45 - 6.80
-1.5x = -1.35
x = (-1.35) / (-1.5)
x = 0.90

A dozen eggs costs 90 cents.

As for the milk... we have y = 3.40 -x
y = 3.40 - 0.90
y = 2.50

A gallon of milk costs 2.50.

Hope that helps!

Answer 4

Let x=cost of one dozen eggs
y=cost of gallon of milk
then
x+y=3.40
.5x+2y=5.45
From first equation x=3.40-y
substitute that into second equation to get
.5(3.4-y)+2y=5.45
1,7-.5y+2y=5.45
1.5y=5.45-1.7
1.5y=3.75
y=2.50
so x=3.40-2.5=.90
dozen eggs cost 90 cents and gallon of milk cost $2.50

Answer 5

Let's say x = eggs.
And y = gallon of milk.

12x + 1y = 3.40
and
6x + 2y = 5.45

Set one of those equations to equal y.
I did the first equation:
12x + 1y = 3.40
y = -12x + 3.40

Then you plug in that y value you got into the second equation.
And then you get:
6x + 2(-12x + 3.40) = 5.45

Use algebra to get your x value.

6x - 24x + 6.8 = 5.45
-18x = -1.35
x = 0.075

Since x represents eggs, we know that 1 egg = 0.075.

Plug it into your first equation: 12x + 1y = 3.40
This will leave you with y, which is the price of one gallon of milk.

12(0.075) + 1y = 3.40
0.90 + y = 3.40
y = 2.50

Since y represents one gallon of milk, we know that:
one gallon of milk is $2.50!



I tried my best to lay it all out for you and explain all my steps thoroughly.
And I hope that helps you!!

If you have any other questions, lemme know and I will do all I can to help.

Answer 6

eggs = e
milk = m
12 e + 1 m = 3.40
6 e + 2 m = 5.45 (-2)
Eliminating:
12e + 1 m = 3.40
-12e - 4m = -10.90
------------------------
-3m = - 7.50
m = 2.50
Answer: Each gallon costs $ 2.50.

12e + 1m = 3.40
12e + 1(2.50) = 3.40
12e = 3.40 - 2.50
12e = 0.90 ==> 1 dozen eggs = 90 cents.
<`´>

Answer 7

m+1/2g=3.4
2m=5.45
m=2.725
1/2g=.67
g=1.34