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Question 1:
June has 2
more cookies than Robert. June and Robert combined
have 8 cookies. How many cookies do they each
have?
The first thing we write down
is:
'Let 'x' equal the number of
cookies the person
we
don't know anything about, in this case Robert (as
we aren't told how many cookies Robert
has)
Let 'x' equal
the number of cookies Robert has.
We are told that June has 2
more cookies than Robert, and if Robert has 'x'
cookies, we can now write the next line:
June has (x +
2) cookies.
Combined they
have 8 cookies.
We write this
in the form of an equation and then proceed to
solve it: (An equation is when two things are
equal)
The equation
is solved using the same means as in normal
arithmatic.
- -
------------------8
= The number Robert has + the number June
has
---- ---- - -
-------
Robert--------June
----
-- - -- -------
../
/-- -
- - -
-
/
-----------------
8 = x + (x +
2)
-----------------
8 = 2x +
2-----------(Add
the 'x's together)
-------------8
- 2 = 2x
--------(Take
2 away from each side so that there are only
numbers on one side)
----------
-------6
=
2x---------
(Bring
to a single number)
----- -----
6
÷ 2 =
x--------(Divide
both sides by 2 to get a single 'x')
----------
-------x
=
3-------
(x =
Robert)
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
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