Respuesta :
Answer:
Step-by-step explanation:
Start backwards.
She has 14 dollars when she gets home.
That is 1/2 of what she had left after buying the book. The book must have cost 14 dollars.
Before buying the book she must have had 14 + 14 = 28 dollars.
She bought a concert ticket for 24 dollars which adds to the 28. 24 + 28 = 52.
So at this point before buying the concert ticket, she has 52 dollars.
The 52 dollars represents 1/2 of what she had left before she put the 15 dollars in the savings account
52 + 52 is what she had before she bought clothing. = 104 dollars.
So the very first thing she did was put 15 dollars in her savings account
104 + 15 = 119 which was the amount of her check. Work forwards to see if it is right.
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She starts out with 119 dollars.
Savings = 15. Remainder = 104
Clothes = 52 Remainder = 52
Concert = 52 - 24 = 28
Book = 1/2 * (28) = 14
Remainder = 14 which is what she had when she got home.
Everything checks.
Answer:
Brandy started with $119.
Step-by-step explanation:
Let Brandy has the total amount = $x
She puts $15 of her paycheck into a saving account.
Amount left with her = $(x - 15)
She then spends half of what is left on clothes so the amount left = [tex]\frac{(x-15)}{2}[/tex]
Now she pays $24 for a concert ticket then money left with her = [tex]\frac{(x-15)}{2}[/tex] - 24
Later she spends one half of what she has on a book then the amount she has = [tex]\frac{1}{2}[\frac{(x-15)}{2}-24][/tex]
When Brandy returns her home, she had $14 left with.
Therefore, the equation showing the amount left with Brandy will be
[tex]\frac{1}{2}[\frac{(x-15)}{2}-24][/tex] = 14
[tex]\frac{(x-15)}{2}[/tex] - 24 = 14×2
[tex]\frac{(x-15)}{2}-24=28[/tex]
[tex]\frac{(x-15)}{2}=28+24[/tex]
[tex]\frac{(x-15)}{2}=52[/tex]
x - 15 = 52×2
x - 15 = 104
x = 104 + 15
x = $119
Therefore, Brandy started with $119.
