With their fence in place, Zack and Clint set towork landscaping yards. Since Cl

Question

With their fence in place, Zack and Clint set towork landscaping yards. Since Clint did the majority of the actuallandscaping and planting, he worked on the average more hours thanZack.

2. Here is the division of stockthat Clint and Zack agreed upon.

Total Shares:1,250

Total value of shares:$35,890

Zach received his amount of sharesthat were valued at $29.70 each. (Use X to represent the number ofshares he received.)

Clint received his amount ofshares that were valued at $27.80 each. (Use 1,250 – X torepresent the number of shares Clint received.)

? How many shares did eachreceive?

? What is the total value ofZach’s shares?

? What is the total value ofClint’s shares?

Explanation / Answer

  TotalShare                                             1250 Total Value ofShared                           $35890 1.Let Zach received number of shareis         X    Value of each shareis                           $29.70     Total value of Zach shareis                  $29.70 X 2. Let Clint's received number of share is  1250-X      Value of each shareis                          $27.80    Total value of Clint shareis                    $27.80(1250-X) put in the equation form: Total value of Zach's share + Total value of Clint'sshare   = Total value of Share              $29.70X +$27.80(1250-X)                             =   $35890             $29.70X + $34750 -$27.80X                           =    $35890                         $1.90X                                                   =  $35890 - $34750                             X                                                       =   $1140 / 1.90                            X                                                        =    600 SHARES A.                  Zach's Share      = 600                      Clint's Share       = 1250-600= 650   B.                  Total value of Zac's shareis    =   $29.70 * 600                                                                    =   $17820 C.                   Totalvalue of Clint's share is =    $27.80 *650                                                                    =    $18070

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