Students surveyed boys and girls separately to determine which sport was enjoyed the most. after completing the boys survey it was determined that for every three boys who enjoyed soccer five boys enjoyed basketball. the girl's survey had a ratio of the number of girls who enjoy soccer to the number of girls who enjoy basketball of 7: 1. if the same number of boys and girls were surveyed in 90 boys enjoy soccer how many girls enjoying each sport?

210 soccer and 30 enjoying basketball

Step-by-step explanation:

Given:  for every three boys who enjoyed soccer five boys enjoyed basketball. The girl's survey had a ratio of the number of girls who enjoy soccer to the number of girls who enjoy basketball of 7:1

To Find: If the same number of boys and girls were surveyed, 90 boys enjoy soccer how many girls enjoying each sport

Solution: For every 3 boys enjoying soccer = 5 boys enjoying basketball

    ratio  of boys enjoying soccer and basketball =  

    ratio  of girls enjoying soccer and basketball =  

    Now,

    let total number of boys enjoying sports =

    let total number of girls enjoying sports =

    Number of boys enjoying soccer =

    it is given that,

                            =

    total number of boys =

                                           =

  total number of girls enjoying sports = total number of boys enjoying                                                                 sports

    total number of girls enjoying sports =

    number of girls enjoying soccer  =  

                                                           =  

                                                           =  

    number of girls enjoying basketball  =  

                                                           =  

                                                           =  

number of girls enjoying soccer is and number of girls enjoying basketball is

step-by-step explanation: