At the school's holiday craft fair, Suzie and her classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the $7$ students at the table. Each student gets $5$ licorice ropes to decorate the roof of his or her gingerbread house. $\newline$ Which equation can you use to find the number of licorice ropes $r$ that came in the bag? $\newline$ Choices: $\newline$ (A) $7r = 5$ $\newline$ (B) $\frac{r}{7} = 5$ $\newline$ (C) $r - 7 = 5$ $\newline$ (D) $r + 7 = 5$ $\newline$ Solve this equation for $r$ to find the number of licorice ropes that came in the bag. $\newline$ $\_\_\_$ licorice ropes $\newline$

View step-by-step help

Home

Math Problems

Grade 6

Solve one-step equations: word problems

Full solution

Q. At the school's holiday craft fair, Suzie and her classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the

7

students at the table. Each student gets

5

licorice ropes to decorate the roof of his or her gingerbread house.

\newline

Which equation can you use to find the number of licorice ropes

r

that came in the bag?

\newline

Choices:

\newline

(A)

7r = 5

\newline

(B)

\frac{r}{7} = 5

\newline

(C)

r - 7 = 5

\newline

(D)

r + 7 = 5

\newline

Solve this equation for

r

to find the number of licorice ropes that came in the bag.

\newline

\_\_\_

licorice ropes

\newline

Understand the problem: Understand the problem. $\newline$ We need to find the total number of licorice ropes $r$ that were divided evenly among $7$ students, with each student receiving $5$ ropes. This is a multiplication problem because we are looking for the total amount when we know the number of groups and the number of items per group.
Set up the equation: Set up the equation. $\newline$ Since each of the $7$ students received $5$ licorice ropes, we multiply the number of students by the number of ropes each student received to find the total number of ropes. $\newline$ The equation is $7 \times \text{r\_per\_student} = \text{total\_ropes}$ , where $\text{r\_per\_student}$ is the number of ropes per student.
Identify the correct equation: Identify the correct equation from the choices. $\newline$ We know that $7$ students each got $5$ ropes, so the total number of ropes is $7$ times the number of ropes per student. The correct equation that represents this situation is: $\newline$ (A) $7r = 5$ , where $r$ represents the total number of ropes.