Kai and Jordan had 300 marbles altogether. Kai gave away 25% fewer marbles than Jordan. Jordan was left with 50% as many as the number of marbles he gave away. Kai had 75% of the total number of marbles the boy left in the end. How many marbles did Kai have in the end?

Guest May 5, 2021

#1**0 **

There is a word missing in this sentence and I don't know what it is ??

Can you proof it please.

"Kai had 75% of the total number of marbles the boy left in the end."

I thought it was probably

"Kai had 75% of the combined total that the boys had left at the end"

But doing this I ended up with John having the initial number of 186 and 6/29 of a marble.

No one has 6/29 of a marble so the question, as I interpreted it, is not correct.

Melody May 10, 2021

#2**0 **

Kai and Jordan had 300 marbles altogether. Kai gave away 25% fewer marbles than Jordan. Jordan was left with 50% as many as the number of marbles he gave away. Kai had 75% of the total number of marbles the boys left in the end. How many marbles did Kai have in the end?

ok I edited

Guest May 10, 2021

edited by
Guest
May 10, 2021

#3**0 **

Please do not put 'asap' or similar in your questions. It makes me less likely to answer. Your questions are not more important than anyone elses.

Melody May 10, 2021

#6**+1 **

See if you can find a logic error.

J stands for the number or marbles Jordan has at the beginning.

Given | Kept | Total | |

Jordan | \(\frac{2J}{3}\) | \(\frac{1J}{3}\) | J |

Kai | \(\frac{J}{2}\) | \(\frac{J}{9}\) | \(\frac{11J}{18}\) |

Total | \(\frac{21J}{18}\) | \(\frac{8J}{18}\) | \(\frac{29J}{18}=300\\ J=186\frac{6}{29}\) |

Melody May 10, 2021

#9**+1 **

Continued in response to this post:

https://web2.0calc.com/questions/asap-i-am-upset-of-this

Ok I found my error, it was the middle square

Given | kept | total | |

jordan | \(\frac{2J}{3}\) | J/3 | J |

Kai | J/2 | J | 3J/2 |

Total | 7J/6 | 4J/3 | 300 |

\(J+\frac{3J}{2}=300\\ \frac{5J}{2}=300\\ J=120\\ check\\ (7*120/6)+(4*120/3)=300\;\;correct\)

So Kai keeps 120 marbles (which is the total number that Jordan has in the beginning)

given | kept | total | |

Jordan | 80 | 40 | 120 |

Kai | 60 | 120 | 180 |

Total | 140 | 160 | 300 |

Melody May 20, 2021