Respuesta :
Answer:
There are 105 male fishes and 195 female fishes
Step-by-step explanation:
Let
x-----> the number of female fishes
y-----> the number of male fishes
we know that
65%=65/100=0.65
so
x=0.65(x+y) ----> equation A
x=2y-15 ----> equation B
substitute equation B in equation A and solve for xy
2y-15=0.65(2y-15+y)
2y-15=1.30y-9.75+0.65y
2y-15=1.95y-9.75
2y-1.95y=-9.75+15
0.05y=5.25
y=105 male fishes
Find the value of x
x=2(105)-15=195 female fishes
The number of female fishes and male fishes in the tank are 195 and 105 respectively.
How to solve equation
Let
x = the number of female fishes
y = the number of male fishes
Female = 65%
65% = 65/100
=0.65
The equation
x = 0.65(x + y) (1)
x = 2y - 15. (2)
- substitute equation 2 in equation 1
2y - 15= 0.65(2y - 15 + y)
2y - 15 = 1.30y - 9.75 + 0.65y
2y - 15 = 1.95y - 9.75
- collect like terms
2y - 1.95y = -9.75 + 15
0.05y = 5.25
y = 105 male fishes
- Substitute for the value of x
x = 2(105) - 15
= 195 female fishes
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