Question 1186486
Hi
Mrs Lee bought 20 ducks and chickens for 126 dollars. Each chicken cost 2 dollars less than each duck. If she bought 6 more chickens than ducks how much did she pay for each chicken. 
Thanks 
<pre>Let number of chickens purchased, be C
Then number of ducks purchased = 20 - C
It was given that 6 more chickens than ducks were purchased
Therefore, the number of ducks purchased = C - 6 
We then get: 20 - C = C - 6
- C - C = - 6 - 20
- 2C =  - 26
Number of chickens purchased, or, {{{matrix(1,5, C, "=", (- 26)/(- 2), "=", 13)}}}
Then number of ducks purchased = 20 - 13 = 7

Let cost of each chicken, be P
Then cost of each duck = P + 2
As $126 was spent, we get: 13P + 7(P + 2) = 126
13P + 7P + 14 = 126
20P = 112
Cost of a chicken, or, {{{highlight_green(matrix(1,5, P, "=", 112/20, "=", "$5.60"))}}}</pre>