A bag contained 120 marbles some are red and the rest are black there are 19 red marbles for every black marble.How many red marbles are in the bag

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Let the red marbles be x and black marbles be y.

A 19 to 1 red to black is written as:

x = 19y 

We're also given:

x + y = 120

Substitute r = 19b into this equation and we get:

y + 19y = 120

20y = 120

y = 6

Since x = 19y, we substitute y = 6 into this equation to solve for x:

x = 19(6)

x = 114