Congratulations to all problem solvers!

Problem 4SolutionsThe correct solution is:

there were

3 girlsand8 boyson the field tripSolution by

Manishais presented below.

Name |
Manisha |

State/Country |
India |

Age |
15 |

Solution |
Let x stand for girls and y stand for boys. The conditions
stated in the problem are: 1) x + y < 15 2) 3*x > y 3)2*y > 5 *x From 2) we conclude that 6*x > 2*y.Combined with 3) we get 5*x < 2*y < 6*x. From 5*x < 2*y <6*x we see that x can't be 1, because 5 < 2*y
<6 .If we try x=2, than 10 < 2*y < 12 , the only number that fits is 11, but 2*y must be even number. If we try x=3 , than 15 < 2*y < 18. From this, the possible answer is 2*y = 16, y = 8. Now let's check all the 3 conditions from the problem: 1) 3 + 8 < 15 2) 3*3 > 8 3) 2*8 < 5*3 All three conditions are true, so 3 girls and 8 boys is the correct answer. |

Other Interests |
I like Math and dancing. |