the sixth-graders raised 2/3 as much money as the seventh-graders at the school fair in the morning. In the afternoon, the sixth-graders continued to raise more money. In the end, they raised twice as much money as the seventh-graders. Both the sixth-graders and seventh-graders raised $324 in the end. How much more money did the sixth-graders raise in the afternoon?

Answer:The sixth-graders raised $108 more than the seventh gradersStep-by-step explanation:The total amount raised by both the sixth-graders and seventh-graders can be expressed as;Total amount raised=amount raised by sixth graders (x)+amount raised by seventh graders (y)where;Amount raised by sixth graders=xAmount raised by seventh graders=yAmount raised by sixth graders in the end=2×y=2 yTotal amount raised=$324Replacing;324=2 y+y3 y=324y=324/3y=108Total amount raised by the seventh graders=y=108Total amount raised by sixth graders=2 y=(2×108)=216Amount raised more by sixth graders than seventh graders=Amount raised by sixth graders-amount raised by seventh graderswhere;Amount raised by sixth graders=$216Amount raised by seventh graders=$108Replacing;Amount raised more by sixth graders than seventh graders=(216-108)=108The sixth-graders raised $108 more than the seventh graders