Angela has a marbles, Brian has twice as many marbles as Angela, Caden has three times as many marbles as Brian, and Daryl has five times the number of marbles Caden has. If in total Angela, Brian, Caden and Daryl have 78 marbles, what is the value of a?

2

Step-by-step explanation:

Angela has a marbles.

Brian has twice as many as Angela, so Brain has 2a.

Caden has three times as many as Brain, so Caden has 3 (2a) = 6a.

Daryl has five times the number of marbles as Caden, so Daryl has 5 (6a) = 30a.

We are given that these 4 people together have 78 marbles.

Angela's + Brain's + Caden's + Daryl's = 78

a + 2a + 6a + 30a = 78

Combine the like terms:

39a=78

Divide both sides by 39:

a=78/39

a=2