Question

Not including tax, a total of 19 pens and markers cost $11.50. The pens cost $0.25 each, and the markers cost $0.75 each. Which system of equations could be used to solve for the number of pens (p) and the number of markers (m) bought?

A.) { p + m = 30.5
{ 0.25p = 0.75m

B.) { p + m = 19
{ 0.25p + 0.75m = 11.5

C.) { p + m = 11.5
{ 0.25p + 0.75m = 19

D.) { 19( p + m ) = 1.00
{ 0.25p + 0.75 = 11.5

Answer 1

B.

Explanation:

11.5=.25p+.75m is the cost of pens and marker

19=p+m is the amount of pens and marker

Answer 2

Given:
19 pens and markers = 11.50
pens cost $0.25 each
markers cost $0.75 each

0.25p + 0.75m = 11.50

0.25(19) + 0.75m = 11.50
4.75 + 0.75m = 11.50
0.75m = 11.50 - 4.75
0.75m = 6.75
m = 6.75/0.75
m = 9

19pens + 9markers = 28 units
0.25p + 0.75m = 11.50
4.75 + 6.75 = 11.50
11.50 = 11.50