Alana and petra go to a used book sale, where every book is the same price. alana buys 4 books and petra buys 2 books. they run into their friend angus, who really loves to read, and discover that he has bought 16 books. angus received a $15 discount, but he still spent $5 more than alana and petra combined. how much does one book cost? $2.00 $24.50 $1.00 $2.50

A book cost $2.00

Step-by-step explanation: Given the no of books purchased by

Alana =4          Petra =2       Angus = 16

So

The total price of 4 books of Alana =4x$

Total price for Petra = 2x$

Total price of Alana and Petra =4x+2x

=6x$

Total price for Angus = 16x$

But given Angus received a discount  of $15

So price post discount = 16x- 15

According to the question

16x-15 = 6x +5

Adding 15 both sides

16x +15-15 = 6x + 5+15

16x= 6x+20

Subtracting 6x both sides

16x - 6x = 6x - 6x + 20

10x = 20

i.e x=2

Cost of one book = $2

i just took the test, the correct answer is .. 31.5 in.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?