If m:n = 3:2, the (4m+5n):(4m-5n) is equal to _____?
- 4:9
- 11:1
- 9:4
- 9:1
Explanation
To solve this, we can start by expressing the given ratio m:n = 3:2 in terms of a variable, let's say x. So, m = 3x and n = 2x.
Now, let's substitute these expressions into the given ratio (4m+5n):(4m-5n):
(4(3x) + 5(2x)) : (4(3x) - 5(2x))
Expanding and simplifying, we get:
(12x + 10x) : (12x - 10x)
22x : 2x
Now, we can divide both terms by 2x to get: 11 : 1
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