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Sharif and his sister have the same amount of money. After Sharif spent $75 and his sister spent $37, his sister had three times as much money as sharif. How much money did sharif have at first?

 Sep 2, 2021
 #1
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Sharif and his sister have the same amount of money:  Each has  x.

 

After Sharif spent 75, Sharif now has  x - 75

 

After his sister spent 37, his sister now has  x - 37

 

His sister has three times as much money as Sharif:  x - 37  =  3(x - 75)

                                                                                     x - 37  =  3x - 225

                                                                           x - 37 + 225  =  3x - 225 + 225

                                                                                  x + 188  =  3x

                                                                            x + 188 - x  =  3x - x

                                                                                        188  =  2x

                                                                                   188 / 2  =  2x / 2

                                                                                          94  =  x

 

Sharif started with 94.

 Sep 2, 2021

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