Each 7th grader brings $5 for charity, while each 8th grader brings in $8. The total collected is $1380. There are 10 more 8th graders than 7th graders. How many students are in each grade?
Accepted Solution
A:
Answer:7th graders- 100 students8th graders- 110 studentsStep-by-step explanation:Let the number of 8th graders be represented by x and 7th graders be represented by yEquation based on numberThere difference between 8th and 7th graders is 10 hence equation becomesx-y=10Equation based on contributionWhile x contribute each $8 and y contribute each $5, the total contribution is $1380 hence the equation becomes8x+5y=1380Combining equationsHaving the two simultaneous equations which arex-y=108x+5y=1380Solving the equations. 5x-5y=508x+5y=1380------------------13x=1430x=1430/13=110Therefore, 8th graders are 110. Since the 8th graders were 10 more than 7th graders, the 7th graders will be 110-10=100 students