The 6th grade classes have started a contest to collect cans for recycling. The first class to reach 500 cans will win.
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
been there, done that:
http://www.jiskha.com/display.cgi?id=1395685293
To find out how many cans each class has left to meet their goal, we need to first determine how many cans each class has collected so far.
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.