Question

Each marble bag sold by Ruben’s Marble Company contains three green marbles for five blue marbles. If a bag has 27 green marbles, how many blue marbles does it contain?

Answer 1

To find the number of blue marbles in the bag, set up a proportion using the ratio of green to blue marbles. Cross multiply and solve for x to find the number of blue marbles, which is 45.

Step-by-step explanation:

To find the number of blue marbles in the bag, we can set up a proportion based on the ratio of green marbles to blue marbles. The ratio in each bag is 3/5 (3 green marbles for every 5 blue marbles). We can write this proportion as:

3/5 = 27/x

To solve for x (the number of blue marbles), we can cross multiply:

3x = 27 * 5

Now we can solve for x by dividing both sides by 3:

x = (27 * 5) / 3

Simplifying the expression gives us:

• x = 45

Therefore, the bag contains 45 blue marbles.