21. Your class hopes to collect at least 415 cans of food for the annual food drive. There were 99 cans donated the first
week and 112 more the second week.
Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by
the end of the third week for your class to meet or surpass its goal.
How many cans are needed to meet or surpass the goal?
99 + 112 + c >= 415
To write an inequality that describes this situation, we'll start by determining the total number of cans donated after the first two weeks:
Number of cans donated in the first week = 99
Number of cans donated in the second week = 112
The total number of cans donated after the first two weeks is given by the sum of these two values:
Total cans donated after the first two weeks = 99 + 112
Now, let's represent the number of cans that must be collected by the end of the third week to meet or surpass the goal as c.
The inequality that represents this situation is:
99 + 112 + c ≥ 415
To find out how many cans are needed to meet or surpass the goal, we need to solve this inequality for c. Let's do that:
99 + 112 + c ≥ 415
Combine like terms:
211 + c ≥ 415
Subtract 211 from both sides to isolate c:
c ≥ 415 - 211
c ≥ 204
Therefore, at least 204 cans of food must be collected by the end of the third week for your class to meet or surpass its goal.