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?

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.

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 =

Now she pays $24 for a concert ticket then money left with her = - 24

Later she spends one half of what she has on a book then the amount she has =

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

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

= 14

- 24 = 14×2

x - 15 = 52×2

x - 15 = 104

x = 104 + 15

x = $119

Therefore, Brandy started with $119.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b