the price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon of milk in the 1950s. Whatwas the cost for a gallon of milk during the 1950s? show your calculations.

Verified Answer :

the price of the milk in the 1950s = x
8x =3.28
x = 3.28/8 =0.41$
so the price of the milk was 0.41$
a gallon


The cost of the milk is \(\fbox{\$\,0.41{\text{ a gallon}}}\) in 1950s.


Further explanation:


The price of milk in 2013 was around \(\$3.28\) a gallon.

And it is given that this was eight times as much as one can would have probably paid for a gallon of milk in the 1950s.


It is given that the price of milk in 2013 is \(\$3.28\) a gallon.

Assume the price of milk in 1950 be \(\$x\) a gallon.

Now, given that 8 times of \(x\) is the price of milk in 2013.

Therefore, \(8x\) is the price of milk in 2013 and also \(\$3.28\) is the price of milk in 2013.

Equating \(8x\) and  \(\$3.28\) equal as both are the price of milk in 2013 as,

\(\begin{aligned}8x&=3.28\\x&=\frac{{3.28}}{8}\\x&=0.41\\\end{aligned}\)

Here, x is the price of milk in 1950.


Therefore, the cost of the milk is \(\fbox{\$\,0.41{\text{ a gallon}}}\) in 1950s.


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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations in one variable


Keywords: Cost, gallon, milk, linear equation in one variable, polynomials, variables, real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, roots of polynomials.