Question

Carlotta has 31 cans. Hanna has 3 times as many cans as Carlotta. Which statements represent c, the number of Hanna's cans?

A) c=31−3
B) c=93
C) c=3×31
D) c=28
E) c=3+31
F) c=34

Answer 1

The correct statement representing c, the number of Hanna's cans, is C) c=3×31, which mathematically is the same as B) c=93 since 3 times 31 equals 93.

Step-by-step explanation:

To determine the number of cans Hanna has, we use the information provided: Carlotta has 31 cans, and Hanna has 3 times as many cans as Carlotta. We are required to express the number of Hanna's cans, c, using an equation.

The correct statement that represents c, the number of Hanna's cans, is:

• C) c=3×31

The alternatives can be evaluated as follows:

• A) c=31−3 would imply Hanna has 28 cans, which is incorrect as she has 3 times as many, not 3 less.
• B) c=93 is the actual number of cans Hanna has since it's the result of multiplying 31 by 3.
• C) c=3×31 is the correct equation representing the relationship between Carlotta's and Hanna's cans.
• D) c=28 has the same issue as A, representing 3 less than Carlotta's amount, which is incorrect.
• E) c=3+31 would mean Hanna has 34 cans, which implies addition rather than multiplication by 3.
• F) c=34 also suggests that Hanna has only 3 more cans than Carlotta, which is incorrect.

Hence, the statement representing the number of Hanna's cans accurately is C) c=3×31, which mathematically equates to option B) c=93, as 3×31=93.