Mathematics, 28.08.2019 06:00, tyarber96

Brandi puts $15 of her paycheck into a savings account. she then spends half of what is left on clothes. she pays $24 for a concert ticket and later spends one-half of what is left on a book. when brandi arrives back home, she has$14 left. what was the amount of brandi's paycheck?

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answered: lindalu

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.

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.

answered: robert7248

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 = $\frac{(x-15)}{2}$

Now she pays $24 for a concert ticket then money left with her = $\frac{(x-15)}{2}$ - 24

Later she spends one half of what she has on a book then the amount she has = $\frac{1}{2}[\frac{(x-15)}{2}-24]$

When Brandy returns her home, she had $14 left with.

Therefore, the equation showing the amount left with Brandy will be

$\frac{1}{2}[\frac{(x-15)}{2}-24]$ = 14

$\frac{(x-15)}{2}$ - 24 = 14×2

$\frac{(x-15)}{2}-24=28$

$\frac{(x-15)}{2}=28+24$

$\frac{(x-15)}{2}=52$

x - 15 = 52×2

x - 15 = 104

x = 104 + 15

x = $119

Therefore, Brandy started with $119.

answered: Guest

step-by-step explanation:

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answered: Guest

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step-by-step explanation: