Question

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 1

Answer:

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