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Sorry I only have 3, today is not my creativity day XD
Since you said men to women, there are 5 men in the dance recital and 6 women in the dance recital.
1. Look how the problem states. Ex: Ratio of men to women.
2. Look at the ratio. 5:48.
3. We know that there are 48 female performers at the dance recital.
So, there are 5 men at the dance recital.
Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
Just divide then subtract
95/83= 1.14= move decimal to right one time so it would be 11.4 then subtract 11.4 from 95= 95-11.4= about $83.55
