|
We are going to go back and
look at Question 1 and go through it more slowly
and in greater detail.
First, read the
question.
Question 1:
June has 2
more cookies than Robert. June and Robert combined
have 8 cookies. How many cookies do they each
have?
Then read it
again.
June has 2
more cookies than Robert. June and Robert combined
have 8 cookies. How many cookies do they each
have?
There are two people
mentioned in the question, June and Robert.
They both have some cookies,
but the question doesn't tell us us how
many.
But the question does tell us
two things.
1. - That June has 2 more
cookies than Robert
2. - That if they both put
their cookies together in one pile there will be 8
cookies
The question wants us to
determine how many cookies each of them
has.
The
first
thing we do is
identify the person we
don't
know anything about.
That's Robert isn't it?
Because we know something about June - she has 2
more cookies than Robert.
After the question we then
write
this line:
Let 'x' equal
the number of cookies Robert
has.
The 'x'
represents a number but at this stage we don't know
what the number is.
Algebra is a
way to find out that number from the other data we
are told.
In the
question we are told
that
June has 2 more
cookies than Robert.
We've already
decided that Robert has 'x' cookies, so June must
have ('x' + 2) cookies. We put it inside brackets
to show that it's one number represented by a
number and a letter.
The combined pile of cookies
will = The cookies Robert has + The cookies June
has.
We can now
write this in the form of an equation and then
solve
it:-
(An
equation means just two things that are
equal)s
The equation
is as follows:
The combined pile of cookies
will = The cookies Robert has + The cookies June
has
Written
numerically this becomes:
-
The
Pile------
-Robert--------June
----
-- - --
---\----
/
/-- -
- - -
-
/
-----------------
8 = x
+ (x + 2)
We can add
the 'x's together so the equation
becomes:------------
-----------------
8 = 2x + 2
-------------8
- 2 =
2x
--------(Take
2 away from each side)
----------
-------6
=
2x----------(Bring
to one number)
----- -----
6
÷ 2 =
x--------(Divide
by 2 to get a single 'x')
----------
-------3
=
x------
(x =
Robert)
Answer
1:
Click on the answer below you
believe is the correct one.
Answer to
question 1:
'A' - Robert
has 3 cookies. June has 6 cookies
'B' -
Robert
has 2 cookies. June has 4 cookies
'C' -
Robert
has 3 cookies. June has 5 cookies
'D' -
Robert
has 5 cookies. June has 3 cookies
|