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There were 6075 adults and children at a stadium. The ratio of the number of girls to the number of boys was 8:7. The number of adults was 4755 more than the number of boys and 4695 more than the number of girls. How many children were there altogether?

 Sep 29, 2021
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g/b = 8/7

g = 8/7 b

 

a = b + 4755       and     a = g + 4695      equate the 'a' definitions

b + 4755    =    g + 4695     now sub in the red equation

b + 4755    =   8/7 b  + 4695

b = 420      then   g = 480           <===== add together

 Sep 29, 2021
edited by ElectricPavlov  Sep 29, 2021

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