Problema Solution

$122 for 5 fence posts and 4 fence panels. 570 for 21 fence post and 20 fence panels. How much does he pay for fence posts and 20 fence panels?

Answer provided by our tutors

let


x = the cost of a fence post

y = the cost of a fence panel


122 for 5 fence posts and 4 fence panels


5x + 4y = 122


570 for 21 fence post and 20 fence panels


21x + 20y = 750


by solving the system of equations


5x + 4y = 122

21x + 20y = 750


we find


x = -35


y = 74.25


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we got negative price for the fence post this means that you can get a free fence post and 35$ back for each fence


the cost of a fence panel is $74.25


the cost of 20 fence panels is 20*74.25= $1,485