The cost of three notebooks and four pencils is $8.50. The cost of five notebooks and eight pencils is $14.50. Determine the cost of one notebook and the notebook and the cost of one pencil. (Only algebraic solution)

3n +4p = 8.5

5n + 8p=14.5

multiple 1st equation by -2 and add the equations together to solve for n

-6n-8p=-17

5n +8p=14.5

-1n = -2.5

n=2.5

and sub 'n' into an equation:

3(2.5) +4p =8.5

7.5 +4p = 8.5

4p = 1

p = .25

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~