Question

Solve each proportion for the missing variable. Please solve this and show your work please!

A) 15/25 = 10/p

Answer 1

`\displaystyle p = (50)/(3)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Explanation:

Step 1: Define

Identify

`\displaystyle (15)/(25) = (10)/(p)`

Step 2: Solve for p

1. [Fraction] Simplify:
   `\displaystyle (3)/(5) = (10)/(p)`
2. [Multiplication Property of Equality] Cross-multiply:
   `\displaystyle 3p = 50`
3. [Division Property of Equality] Divide 3 on both sides:
   `\displaystyle p = (50)/(3)`

Answer 2

p = 50/3

Explanation:

15/25 = 10/p

Using cross products

15*p = 25*10

15p = 250

Divide by 15

15p/15 = 250/15

p = 50/3