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Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.
Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532
50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4
5x + 3y = 44
11x + 9y = 133
So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.
-15x-9y=-165.
11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
Answer:
D) 7.01
Step-by-step explanation:
The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...
1/4.12 = 1/10 + 1/A
(Jobs per hour is the inverse of hours per job.)
A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01
It takes Alberto 7.01 hours to do the job alone.
