She can make 48 cups juice
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex]\large{\boxed{\bold{ax=b}}[/tex]
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:
[tex]\large{\boxed{\bold{ax+bx=c}}}[/tex]
x, y = variable
Let x = cups of concentrate
w = cups of water
If we translate this sentence into equation:
w = 5x .. equation 1
If we translate this sentence into equation:
w = 32+x .. equation 2
We can make a comparison from equation 1 and 2
[tex]\displaystyle \frac{water}{concentrate} =5[/tex]
[tex]\displaystyle \frac{32+x}{x} =5[/tex]
[tex]\displaystyle 32+x=5x[/tex]
[tex]\displaystyle 32=4x[/tex][tex]\large{\boxed{x=8\:cups}}[/tex]
so x = concentrate = 8 cups
then water :
[tex]\displaystyle water={5\times8}[/tex]
water = 40 cups
Total juice she can make :
= 40 + 8 cups
= 48 cups
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Keywords : one variable, linear equation , juice, cups, concentrate, water
