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We are going to go back to
Question 8 and go through it in detail.
First, read the
question.
Question 8:
Jennifer went
shopping for birthday presents.
She spent half of what she had, plus $5, for a
blouse;
then half of what was left, plus $5, for a
cookbook;
then half of what was left, plus $5, for
stationery.
Jennifer had nothing left. How much did she start
with?
Let 'x' equal the total money
Jennifer spent.
If you got
confused with all the text you could make a rough
sketch or chart. This may help you to see it
clearer.
Now let us figure what she spent
on each item
Blouse = (x ÷ 2) + 5
This left a remainder of
(x÷2) - 5
Cookbook = (x ÷ 4) - 2.1/2 + 5
..................
Half the remainder +
5
This left a remainder of (x
÷ 4) - 7.1/2
Stationery = (x ÷ 8) -
3.3/4 + 5
.................
Half the remainder +
5
The equation
becomes as follows:
'x' = Cost of
the blouse + Cost of the cookbook + Cost of the
stationery
x = (x ÷ 2) + 5 + (x
÷ 4) - 2.1/2 + 5 + (x ÷ 8) - 3.3/4 +
5
8x = 4x + 40 + 2x - 20 + 40 +
x - 30 + 40
...................
(Multiply throughout by 8 to bring
........................................................................................................
x's to whole
numbers)
8x - 4x -2x - x = 40 - 20 + 40 - 30 + 40
x =
Click on the answer below you
believe is the correct one.
Answer to
question 8:
A' - 70
'B' -
80
'C' -
90
'D' -
93.67
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