Answer:
Let x represents the ounces of first spice.
From the given statements, you draw a table as shown below:
ounces of spice Percentage ounces of salt
First spice x 3% 0.03x
Second spice 175 6% 175(0.06)
Final mixture x+ 175 5% (x+175)(0.05)
Now, to solve for x;
Final spice = First spice + second spice
[tex]0.03x+175(0.06) = (x+175)(0.05)[/tex]
[tex]0.03x + 10.5 = 0.05x + 8.75[/tex]
Subtract 10.5 on both sides we have;
[tex]0.03x + 10.5 -10.5= 0.05x + 8.75-10.5[/tex]
Simplify:
[tex]0.03x= 0.05x -1.75[/tex]
Subtract 0.05x on both sides;
[tex]0.03x - 0.05x= 0.05x -1.75-0.05x[/tex]
Simplify:
[tex]-0.02x= -1.75[/tex]
Divide both sides by -0.02, we get;
x = 87.5 ounces
Therefore, 87.5 ounces of spices i.e 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt
