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The table shows the number of students who have different numbers of pets at a school.
How many pets do all the students have together?
number of pets
1
2
3
4
number of students
218
167
287
138

The table shows the number of students who have different numbers of pets at a school. $\newline$ How many pets do all the students have together? $\newline$ number of pets $\newline$ $1$ $\newline$ $2$ $\newline$ $3$ $\newline$ $4$ $\newline$ number of students $\newline$ $218$ $\newline$ $167$ $\newline$ $287$ $\newline$ $138$

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Compound events: find the number of sums

Full solution

Q. The table shows the number of students who have different numbers of pets at a school.

\newline

How many pets do all the students have together?

\newline

number of pets

\newline

1

\newline

2

\newline

3

\newline

4

\newline

number of students

\newline

218

\newline

167

\newline

287

\newline

138

Calculate pets for students with $1$ pet: First, multiply the number of students by the number of pets they each have. $\newline$ So, for students with $1$ pet: $218$ students $\times$ $1$ pet/student = $218$ pets.
Calculate pets for students with $2$ pets: Next, do the same for students with $2$ pets: $167$ students $\times 2$ pets/student $= 334$ pets.
Calculate pets for students with $3$ pets: Then, for students with $3$ pets: $287$ students $*$ $3$ pets/student $= 861$ pets.
Calculate pets for students with $4$ pets: Finally, for students with $4$ pets: $138$ students $\times 4$ pets/student $= 552$ pets.
Add up total number of pets: Now, add up all the pets from each group to get the total. $218$ pets + $334$ pets + $861$ pets + $552$ pets = $1965$ pets.

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