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

Question

Mathematics

Janiyah Kerr

1 June, 16:00

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

+5

Answers (1)

Know the Answer?

Alfred Aguirre · Answer 1

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