Question

A bag contains purple marbles and green marbles, 27 in total. The number of purple marbles is 3 less than 4 times the number of green marbles. How many purple marbles are there?

Answer 1

• 21 purple marbles

Explanation:

• Purple marbles = p
• Green marbles = g

Equations as per given:

• p + g = 27
• p = 4g - 3

Substitute p in the first equation:

• 4g - 3 + g = 27
• 5g = 30
• g = 6

Then find p:

• p = 27 - 6 = 21