Tobi was given a bag of colored marbles. The marbles includes: 18 green marbles, 12 blue marbles, 8 red…

Question

Tobi was given a bag of colored marbles. The marbles includes: 18 green marbles, 12 blue marbles, 8 red marbles and 4 yellow marbles. Write in the simplest form the ratio of: a. Blue marbles to Green marbles.

ScanSolve AI Tutor · Accepted Answer

Here's how to find the ratio of blue marbles to green marbles in the simplest form:

Identify the number of blue and green marbles.
From the problem, we have:
- 12 blue marbles
- 18 green marbles
Write the ratio of blue marbles to green marbles.
The ratio is given as Blue marbles : Green marbles.
$\text{Ratio} = 12 : 18$
Simplify the ratio by finding the greatest common divisor (GCD) of 12 and 18.
The common factors of 12 and 18 are 1, 2, 3, and 6. The greatest common divisor is 6.
Divide both parts of the ratio by the GCD.
$\frac{12}{6} : \frac{18}{6}$ $2 : 3$
The ratio of blue marbles to green marbles in the simplest form is $2:3$ .

a. Blue marbles to Green marbles.

Tobi was given a bag of colored marbles. The marbles includes: 18 green marbles, 12 blue marbles, 8 red marbles and 4 yellow marbles. Write in the simplest form the ratio of: a. Blue marbles to Green marbles.

Answer

Step-by-step solution

Identify the number of blue and green marbles.

Write the ratio of blue marbles to green marbles.

Simplify the ratio by finding the greatest common divisor (GCD) of 12 and 18.

Divide both parts of the ratio by the GCD.

Try one yourself

Still stuck on this one?

More Mathematics Questions