Question

the sum of 1/4 of the price of a pen and 1/3 of the price of a pencil is $11. If 1/8 of the price of the pen is equal to 1/5 of the price of the pencil, what is the price of the pencil in dollars?
A.12
B.15
C.20
D.24
E.none of these

Answer 1

system of equations:
$11 = 1/4 * pen + 1/3 pencil
1/8 * pen = 1/5 * pencil

Answer 2

I did that and I got yhe answer 6 is it correct?

Answer 3

I can verify:
eq1
+ 2 x eq2

$11 = 1/4 * pen + 1/3 pencil
+2/8 * pen = +2/5 * pencil

$11 - 1/4 * pen= +5/15 pencil
1/4 * pen = 6/15 * pencil
------------------------
$11 = 11/15 * pencil

$11 x 15 = 11 * pencil
pencil = $15