Question

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 1

The sixth-graders raised $108 more than the seventh graders

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=x

Amount raised by seventh graders=y

Amount raised by sixth graders in the end=2×y=2 y

Total amount raised=$324

Replacing;

324=2 y+y

3 y=324

y=324/3

y=108

Total amount raised by the seventh graders=y=108

Total amount raised by sixth graders=2 y=(2×108)=216

Amount raised more by sixth graders than seventh graders=Amount raised by sixth graders-amount raised by seventh graders

where;

Amount raised by sixth graders=$216

Amount raised by seventh graders=$108

Replacing;

Amount raised more by sixth graders than seventh graders=(216-108)=108

The sixth-graders raised $108 more than the seventh graders