Answer:
p = 50
Step-by-step explanation:
[tex]\frac{1}{2} *p+75=100\\[/tex]
Combine like terms into a single fraction:
[tex]\frac{1}{2} p+75=100[/tex]
[tex]\frac{1p}{2} +75=100[/tex]
Multiply by 1:
[tex]\frac{1p}{2}+75=100[/tex]
[tex]\frac{p}{2} +75=100[/tex]
Subtract 75 from both sides of the equation:
[tex]\frac{p}{2} +75=100[/tex]
[tex]\frac{p}{2} +75-75=100-75[/tex]
Simplify:
Subtract the numbers:
[tex]\frac{p}{2} +75-75=100-75[/tex]
[tex]\frac{p}{2} =100-75[/tex]
Subtract the numbers:
[tex]\frac{p}{2} =100-75[/tex]
[tex]\frac{p}{2} =25[/tex]
Multiply all terms by the same value to eliminate fraction denominators:
[tex]\frac{p}{2} =25[/tex]
[tex]2*\frac{p}{2} =2*25[/tex]
Simplify:
[tex]2*\frac{p}{2} =2*25[/tex]
[tex]p=2*25[/tex]
Multiply the numbers:
[tex]p=2*25[/tex]
[tex]p=50[/tex]
Solution:
[tex]p=50[/tex]
