Fractions and Percentages
If 40% of a number is equal to three-fifths of another number, and the first number is 90, what is the second number?
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Let the second number be x.
ReplyDeleteWe know that:
40% of the first number (which is 90) is equal to three-fifths of the second number.
This can be written as an equation: 0.4 × 90 = (3/5) × x
Calculate 40% of 90: 0.4 × 90 = 36
Now, the equation becomes: 36 = (3/5) × x
To solve for x, multiply both sides of the equation by 5/3 to get rid of the fraction: x = 36 × (5/3) = (36 × 5) / 3 = 180 / 3 = 60
Final Answer: The second number is 60.