Question
(12) Annie had a sum of money at first.
She spent
She had
(a) What fraction of her money did she spend on the blouse?
(b) How much money did she have at first?
She spent
She had
(a) What fraction of her money did she spend on the blouse?
(b) How much money did she have at first?
Ask by Beck Robbins. in Singapore
Mar 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Annie spent
Solution
Let the amount of money Annie had initially be
-
After spending
on the bag, she has remaining. -
She then spent
of the remainder on the blouse. The cost of the blouse is -
It is given that after both purchases, she had
of her initial money left, so Notice that the remaining money after the blouse purchase is also obtained by subtracting the blouse cost from the remaining money after the bag purchase: -
Set the amount left equal to
: -
Multiply both sides by
(the least common multiple of and ) to eliminate the fractions: Simplify each side: -
Distribute and solve for
: Calculate: Thus:Subtractfrom both sides: so: -
Now, find the amount spent on the blouse:Since
, we have: -
(a) To find the fraction of her money that she spent on the blouse, divide the blouse cost by the initial amount:
-
(b) The amount of money she had at first is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
Let
Next, she spent
After the blouse, she was left with:
According to the problem, this remaining amount is equal to
To eliminate the fractions, let’s multiply through by 24 (the least common multiple of 8 and 3):
So, Annie initially had
(a) To find what fraction of her money was spent on the blouse:
The amount she spent on the blouse is
The fraction of her total money spent on the blouse is:
The amount she spent on the blouse is
The fraction of her total money spent on the blouse is:
(b) Therefore, Annie had
