Question 644745

Matthew has two different stocks. One of the stocks is worth $4 more per share than the other. He 20) has 13 shares of the more valuable stock and 27 shares of the other stock. His total assets in stocks
is $1412. How much is the more expensive stock worth per share?

PLEASE HELP ME SOLVE THIS
THANK YOU


Let the more expensive stock be worth E/share
Then the less expensive stock is worth (E – 4)/share
Also, 13E + 27(E – 4) = 1,412
13E + 27E – 108 = 1,412
40E = 1,412 + 108
40E = 1,520
E, or more expensive stock is worth {{{1520/40}}}, or ${{{highlight_green(38)}}}/share


======
Check
======


13(38) + 27(38 - 4) = 1,412
13(38) + 27(34) = 1,412
494 + 918 = 1,412
1,412 = 1,412 (TRUE)


Send comments and “thank-yous” to “D” at MathMadEzy@aol.com