She can make 48 cups juice
Further Explanation
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
\(\large{\boxed{\bold{ax=b}}\)
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
\(\large{\boxed{\bold{ax+bx=c}}}\)
x, y = variable
Let x = cups of concentrate
w = cups of water
Jackie used 5 times as much water as concentrate.
If we translate this sentence into equation:
w = 5x .. equation 1
There were 32 more cups of water than concentrate.
If we translate this sentence into equation:
w = 32+x .. equation 2
We can make a comparison from equation 1 and 2
\(\displaystyle \frac{water}{concentrate} =5\)
\(\displaystyle \frac{32+x}{x} =5\)
\(\displaystyle 32+x=5x\)
\(\displaystyle 32=4x\)\(\large{\boxed{x=8\:cups}}\)
so x = concentrate = 8 cups
then water :
\(\displaystyle water={5\times8}\)
water = 40 cups
Total juice she can make :
= 40 + 8 cups
= 48 cups
Learn more
the slope-intercept form of the linear equation
brainly.com/question/1945934
a graph of a linear equation
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system of linear equations
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Keywords : one variable, linear equation , juice, cups, concentrate, water
