Question

Alfe bought 3 markers and 2 sketch books for $19.00. Ahmed bought
5 markers and 5 sketch books for $43.75. How much is one marker?
How much is one sketch book?

Answer 1

Let's determine the price of one marker first.

Let M be the price of one marker and S be the price of one sketch book.

From the given information, we can set up two equations:

3M + 2S = 19.00 (Alfe's purchase)
5M + 5S = 43.75 (Ahmed's purchase)

Now we can solve the system of equations. Let's start by solving for M:

From the first equation:
3M + 2S = 19.00
3M = 19.00 - 2S
M = (19.00 - 2S) / 3

Substitute the expression for M into the second equation:
5[(19.00 - 2S) / 3] + 5S = 43.75
(95.00 - 10S) / 3 + 5S = 43.75
95.00 - 10S + 15S = 131.25
5S = 36.25
S = 7.25

Now that we have found the price of one sketch book, we can substitute back into the first equation to find the price of one marker:

3M + 2(7.25) = 19.00
3M + 14.50 = 19.00
3M = 4.50
M = 4.50 / 3
M = 1.50

Therefore, one marker costs $1.50 and one sketch book costs $7.25.