Maria asked 40 students in her class
about their favorite sport.
Here were the replies:
Four students like swimming.
At least six students like basketball.
And twice as many students like soccer more than basketball.
We're asked to complete the pictograph below
and answer the question.
Just notice for the pictograph,
each red X represents two students.
And we're asked to answer the question,
there are how many more students
that like soccer than like swimming.
So there's a lot of information here.
And it might be easy to get overwhelmed.
Let's just take it one step at a time.
Notice how we know that exactly
four students like swimming.
Let's record this in the pictograph.
So because four students like swimming,
and one red X is equal to two students,
we would use two red X's to represent
the number of students that like swimming.
Again, four students like swimming.
So if there are 40 students in the class,
and four of them like swimming,
notice that 40 minus four would be equal to 36,
which means that 36 students
either like basketball or soccer.
And again, we also know that
at least six students like basketball,
and twice as many students
like soccer than basketball.
So to finish up this question,
let's compare the number of students
that like basketball and soccer, using a table.
Let's let B equal the number of students
that like basketball, and S be equal to
the number of students that like soccer.
And again we know twice as many students
like soccer than basketball.
So because we know at least
six students like basketball,
let's say there were six students that like basketball.
If there were six students that like basketball,
then twice as many like soccer.
Because six times two equal 12,
12 students would like soccer.
But because six plus 12 is equal to 18,
and 36 students remain, this would not be
the correct number of students
that like basketball and soccer.
So let's try a different number
of students that like basketball.
Let's try seven.
Well, if seven students like basketball,
then seven times two are 14 students like soccer.
Seven plus 14 is equal to 21,
which is not 36.
So this cannot be correct.
Let's jump to 10 students like basketball.
That means 10 times two,
or 20 students like soccer.
And now we're getting closer,
but notice that 10 plus 20 is equal to 30,
and we need 36, so let's try again.
Let's try 11, which means
if 11 students like basketball,
11 times two or 22 students like soccer.
And 11 plus 22 is equal to 33, not 36.
So we try again.
Let's try 12 students like basketball.
Well, that means 12 times two
or 24 students would like soccer.
And now we have it because,
notice that 12 plus 24 is equal to 36,
which is the exact number of students
that remain in the class of 40.
So now we know that 12 students like basketball,
and 24 students like soccer.
I'm just recording this information here,
so I can keep track of the information.
And now to complete the pictograph,
because one red X is equal to two students,
and 12 students like basketball,
we would have six X's to represent
the 12 students that like basketball.
Two, four, six, eight, 10 and 12 students.
And because 24 students like soccer,
we would have 12 red X's.
Two, four, six, eight, 10, 12, 14,
16, 18, 20, 22, and 24 students.
And now for our last question,
it asks now many more students
like soccer than swimming.
Well, we now know that 24 students
like soccer and four students like swimming,
and 24 minus four is equal to 20,
so 20 more students like soccer than like swimming.
I hope you found this helpful.