Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 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?
The inequality that describes the situation is:
cans donated in week 1 + cans donated in week 2 + cans donated in week 3 ≥ 325
Given that 135 cans were donated in the first week and 89 more were donated in the second week, the inequality becomes:
135 + 89 + cans donated in week 3 ≥ 325
We can simplify this inequality to:
224 + cans donated in week 3 ≥ 325
To find the number of cans needed to meet or surpass the goal, we subtract 224 from both sides of the inequality:
(224 + cans donated in week 3) - 224 ≥ 325 - 224
cans donated in week 3 ≥ 101
Therefore, at least 101 cans of food must be collected by the end of the third week to meet or surpass the goal.