Question

a school is having a canned food drive. each class is challenged to collect 190 cans. if there are c classes in the school, which equation could be used to find the total number of cans, t, the school will collect if each class meets the challenge?
a. \\( t = 190 + c \\)

b. \\( t = \frac{190}{c} \\)

c. \\( t = 190c \\)

d. \\( t = \frac{c}{190} \\)

Explanation:

Step1: Understand the problem

We need to find the total number of cans \( T \) collected by \( c \) classes, where each class collects 190 cans. This is a problem of finding the total when we know the number per group (190 cans per class) and the number of groups (\( c \) classes).

Step2: Determine the operation

To find the total, we multiply the number of cans per class (190) by the number of classes (\( c \)). So the formula should be \( T = 190\times c \), which is written as \( T = 190c \).

Step3: Analyze the options

• Option A: \( T = 190 + c \) is adding, not multiplying, so it's incorrect.
• Option B: \( T=\frac{190}{c} \) is dividing, which doesn't make sense here.
• Option C: \( T = 190c \) is the correct multiplication of cans per class and number of classes.
• Option D: \( T=\frac{c}{190} \) is also dividing in the wrong way.

Answer:

C. \( T = 190c \)