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.
a. 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 of your class to meet or surpass its goal.
b. How many cans are needed to meet or surpass the goal?
a. To write an inequality that describes this situation, we can first subtract the number of cans donated in the first and second weeks from the desired total of 325 cans. Let's use the variable "c" to represent the number of cans of food that must be collected by the end of the third week. So, the inequality can be written as:
c - 135 - 89 ≥ 325
This represents that the number of cans collected by the end of the third week, represented by "c", minus the cans donated in the first week (135) and the cans donated in the second week (89), must be greater than or equal to 325 to meet or surpass the goal.
b. To find out how many cans are needed to meet or surpass the goal, we can solve the inequality:
c - 135 - 89 ≥ 325
First, simplify the equation:
c - 224 ≥ 325
Next, isolate the variable "c" by adding 224 to both sides of the inequality:
c ≥ 549
Therefore, at least 549 cans of food are needed to meet or surpass the goal.
a. The inequality that describes this situation is: c ≥ 325
b. To meet or surpass the goal, at least 325 cans of food are needed.
a. The inequality that describes this situation is:
c ≥ 325
b. To meet or surpass the goal, at least 325 cans of food are needed.