Question

A bag contains purple marbles and blue marbles, 38 in total. The number of purple marbles is 5 more than 2 times the number of blue marbles. How many purple marbles are there?

Answer 1

27 purple marbles

Explanation:

• purple marbles- p
• blue marbles- b

Equations based on the given:

p= 2b +5 and p+b= 38

• 2b+5+b= 38 ⇒ 3b+5= 38 ⇒ 3b= 33 ⇒ b= 11

• p= 38-11= 27