Question

When making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all?

Answer 1

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  

brainly.com/question/1505806  

system of linear equations  

brainly.com/question/11544167  

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

Answer 2

She made 48 cups of juice