SOLUTION: 24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part

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Question 145147: 24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part
:
Let x = 1 part which makes up 24
Then
(24-x) = 2nd part which makes up 24
:
Write an equation for the statement:
" 7 times the first part added to 5 times the second part makes 146."
7x + 5(24-x) = 146
:
7x + 120 - 5x = 146
:
7x - 5x = 146 - 120
:
2x = 26
x = 26%2F2
x = 13, one part of 24
then
24 - 13 = 11; the other part of 24
:
Check solution in the statement:
"7 times the first part added to 5 times the second part makes 146."
7(13) + 5(11) = 146