been there, done that:
http://www.jiskha.com/display.cgi?id=1395685293
The chart below shows the two classes in the lead. How many cans does each class have left to meet their goal?
show the work . find how much they collected. Given is the weeks and the fraction of goal.
CHART
CLASS 1
WEEK # COLLECTED FRACTION OF GOAL
1 1/2
2 1/5
3 1/4
CLASS 2
WEEK # COLLECTED FRACTION OF GOAL
1 2/5
2 1/10
3 1/5
http://www.jiskha.com/display.cgi?id=1395685293
For Class 1:
Week 1: The fraction of the goal collected is 1/2. To find the number of cans collected, we multiply this fraction by the total goal.
Number of cans collected in Week 1 = (1/2) * 500 = 250 cans
Week 2: The fraction of the goal collected is 1/5. Again, we multiply this fraction by the total goal to find the number of cans collected.
Number of cans collected in Week 2 = (1/5) * 500 = 100 cans
Week 3: The fraction of the goal collected is 1/4.
Number of cans collected in Week 3 = (1/4) * 500 = 125 cans
So, in total, Class 1 has collected 250 + 100 + 125 = 475 cans.
Similarly, for Class 2:
Week 1: The fraction of the goal collected is 2/5.
Number of cans collected in Week 1 = (2/5) * 500 = 200 cans
Week 2: The fraction of the goal collected is 1/10.
Number of cans collected in Week 2 = (1/10) * 500 = 50 cans
Week 3: The fraction of the goal collected is 1/5.
Number of cans collected in Week 3 = (1/5) * 500 = 100 cans
So, in total, Class 2 has collected 200 + 50 + 100 = 350 cans.
To find how many cans each class has left to meet their goal, we subtract the total number of cans collected from the total goal:
For Class 1: Number of cans left = Total goal - Number of cans collected = 500 - 475 = 25 cans
For Class 2: Number of cans left = Total goal - Number of cans collected = 500 - 350 = 150 cans
Therefore, Class 1 has 25 cans left to meet their goal, and Class 2 has 150 cans left to meet their goal.