183 is the answer to that
<h2>
Answer:</h2>
<em><u>(B). </u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
Let the total number of geese be = 100x
Number of Male geese = 30% = 30x
Number of Female Geese = 70x
Let us say 'kx' geese migrated from these geese.
Number of migrated Male geese = 20% of kx = kx/5
Number of migrated Female geese = 4kx/5
So,
<u>Migration rate of Male geese</u> is given by,
<u>Migration rate of Female geese</u> is given by,
So,
The ratio of Migration rate of Male geese to that of Female geese is given by,
![\frac{\left[\frac{(\frac{kx}{5})}{30x}\right]}{\left[\frac{(\frac{4kx}{5})}{70x}\right]}=\frac{350}{4\times 150}=\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7Bkx%7D%7B5%7D%29%7D%7B30x%7D%5Cright%5D%7D%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7B4kx%7D%7B5%7D%29%7D%7B70x%7D%5Cright%5D%7D%3D%5Cfrac%7B350%7D%7B4%5Ctimes%20150%7D%3D%5Cfrac%7B7%7D%7B12%7D)
Therefore, the<em><u> ratio of the rate of migration of Male geese to that of Female geese is,</u></em>
<em><u>Hence, the correct option is (B).</u></em>
<em><u></u></em>
Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
