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.