Pedro is on the well-known reality show, Kid Castaway, in which a group of kids spends a week learning to survive on a tropical island. On Monday, the kids gather a bunch of coconuts to eat. They divide the coconuts evenly among all $16$ kids in the group. Each kid gets $5$ coconuts. $\newline$ Which equation can you use to find the number of coconuts $c$ the kids gather? $\newline$ Choices: $\newline$ (A) $\frac{c}{16} = 5$ $\newline$ (B) $16c = 5$ $\newline$ (C) $c - 16 = 5$ $\newline$ (D) $c + 16 = 5$ $\newline$ Solve this equation for $c$ to find the number of coconuts the kids gather. $\newline$ ____ coconuts $\newline$

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Solve one-step and two-step linear equations: word problems

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Q. Pedro is on the well-known reality show, Kid Castaway, in which a group of kids spends a week learning to survive on a tropical island. On Monday, the kids gather a bunch of coconuts to eat. They divide the coconuts evenly among all

16

kids in the group. Each kid gets

5

coconuts.

\newline

Which equation can you use to find the number of coconuts

c

the kids gather?

\newline

Choices:

\newline

(A)

\frac{c}{16} = 5

\newline

(B)

16c = 5

\newline

(C)

c - 16 = 5

\newline

(D)

c + 16 = 5

\newline

Solve this equation for

c

to find the number of coconuts the kids gather.

\newline

____ coconuts

\newline

Divide Equally Among Kids: To find the total number of coconuts gathered, we need to use the information that each of the $16$ kids received $5$ coconuts. The equation that represents this situation is one where the total number of coconuts $c$ is divided evenly among the $16$ kids, with each kid getting $5$ coconuts. This corresponds to choice (A) $\frac{c}{16} = 5$ .
Isolate $c$ in Equation: Now we solve the equation $\frac{c}{16} = 5$ for $c$ to find the total number of coconuts. To do this, we multiply both sides of the equation by $16$ to isolate $c$ on one side. $\newline$ $c = 5 \times 16$
Perform Multiplication: Perform the multiplication to find the value of $c$ . $c = 80$