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If 60% of a number is equal to three-fourth of another number, what is the ratio of the first number to the second number?
3 : 7
2 : 5
7 : 3
5 : 4
Here’s the thing, let’s break it down step by step:
- Let the first number be x, the second number be y.
- "60% of x" means 0.6x and "three-fourth of y" means 0.75y.
- So, 0.6x = 0.75y
- If you divide both sides by y, you get 0.6x / y = 0.75
- Rearranging for x/y: x/y = 0.75 / 0.6 = 75/100 ÷ 60/100 = 75/60 = 5/4
Let's check the options:
- Option 1: 3:7 (that’s not it)
- Option 2: 2:5 (nope)
- Option 3: 7:3 (not matching)
- Option 4: 5:4
So the right answer is Option 4 — 5:4.
What this really means is: for every 5 units of the first number, you’ve got 4 of the second. The math backs it up, plain and simple.
By: santosh ProfileResourcesReport error
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