There are 7 rabbits sold for $7 and 13 rabbits sold for $11.
Substitution method:
In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.
Given,
A pet shop sold 20 rabbits for $192.
Some of the rabbits sold for $7 each and the rest for $11 each.
Here we need to find the number of rabbits sold in each case.
Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.
We know that, the total number of rabbits sold = 20.
So, it can be written as,
=> x + y = 20
Here we have to rewritten this equation as,
=> x = 20 - y ----------------------(1)
We know that, total amount for sold rabbits = 192
So, it can be written as,
=> 7x + 11y = 192 -----------------------(2)
Apply the value of x to equation (2),
Then we get,
=> 7(20 - y) + 11y = 192
=> 140 - 7y + 11y = 192
=> 4y + 140 = 192
=> 4y = 192 - 140
=> 4y = 52
=> y = 52/4
=> y = 13.
Apply the value of y on the equation (1),
Then we get,
=> x = 20 - y
=> x = 20 - 13
=> x = 7
Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.
To know more about Substitution Method here.
brainly.com/question/14619835
#SPJ4