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=4xlarge{boxed{x=8:cups}}


so x = concentrate = 8 cups

then water :

displaystyle water={5times8}

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  

brainly.com/question/1505806  

system of linear equations  

brainly.com/question/11544167  

Keywords : one variable, linear equation , juice, cups, concentrate, water