This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Write the given information as an equation. The problem states that 15% of a is equal to 25% of b. We can write percentages as fractions or decimals: (15)/(100)a = (25)/(100)b Step 2: Simplify the equation. Multiply both sides by 100 to remove the denominators: 15a = 25b Step 3: Find the ratio a:b. To find the ratio a:b, we need to express it as (a)/(b). Divide both sides of the equation by b: 15 (a)/(b) = 25 Now, divide both sides by 15: (a)/(b) = (25)/(15) Step 4: Simplify the ratio. Both 25 and 15 are divisible by 5. (a)/(b) = (25 ÷ 5)/(15 ÷ 5) = (5)/(3) So, the ratio a:b is 5:3. Comparing this with the given options: a. 3:5 b. 5:3 c. 4:5 d. 5:4 The correct option is b. The final answer is b. 5:3. Send me the next one 📸