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Danny has 2/3 as many toy cars as Jack. They have a total of 75 toy cars. How many toy cars does Jack have at first? How many toy cars must Jack give to Danny so that Danny will have 35 more toy cars than Jack?

 Nov 2, 2021
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Step 1-  Given Informations : -

Danny has 2/3 as many toy cars as Jack. They have a total of 75 toy cars. How many toy cars does Jack have at first? How many toy cars must Jack give to Danny so that Danny will have 35 more toy cars than Jack?

According to Given Problem : -

               Danny has 2/3 as many toy cars as Jack.

                  total toy cars = 75

                     2/3J + J = 75 (According to Question)

                          5J/3 = 75

                            J \(= {75 * 3\over 5}\)

                            J = 45 

So, (Jack have = 45 toy cars at first)

 So, Danny have = 2/3 * J

                            = 2/3 * 45

                            = 30

       (Danny have = 30 toy cars at First)

 

Step 2- Now,

        We have to Find out how many cars (toy)

              must Jack Give to Danny so that Danny

        will have 35 more toy cars than Jack?

  Jack will Give (45-x) (∴x = Number of toy cars )

                                            Jack Give to Danny

 Now, Danny will have (30+x)

 So, According to Guide Situation : -

                      (45-x) + 35 = 30 + x

                         -x - x = 30 x 35 - 45

                         -2x = 30 - 80

                        -2x = -50

                           x = 25

(25 toy cars must Jack give to Danny, so 

       that Danny will have 35 more toy cars

           than Jack)

 Dec 4, 2021

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