Leo has 9 times as many red marbles as blue marbles. If he has 2288 more red marbles than blue marbles, how many red marbles does he have?

Answer 1

Let's let b represent the number of blue marbles and r represent the number of red marbles.

Since we know that they are 9 times as many red as there are blue, we can write:

r = 9*b

Also, since he had 2288 more red marbles than blue, we can write:

r = 2288 + b

Since we have two expressions for r, we can set them equal to each other and find the number of blue marbles:

9 * b = 2288 + b

Subtract b from both sides of teh equation:

9b -b = 2288 + b - b

Then:

8b = 2288

Divide both sides of the equation by 8:

8b/8 = 2288/8

b = 286 blue marbles

r = 9 *b OR 9 * 286

r = 2574 red marbles