In this problem, we are tasked with finding three-tenth of a number, given the condition that one-third of one-fourth of the number is 15.
Step-by-Step Solution:
Let the number be x.
- We are given that one-third of one-fourth of x is 15.
Translate the problem into an equation:
- One-third of one-fourth of xxx can be written as: 1/3 × 1/4 × x = 15
- Simplify the left-hand side: 1/12 × x = 15
Solve for x:
- Multiply both sides of the equation by 12 to isolate x:
x=15×12
x=180
Find three-tenth of x:
- Now that we know x=180, we can find three-tenth of
3/10×180=54
Final Answer:
The three-tenth of the number is 54.
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