Question

There are two red jars and one blue jar with a total of 28 marbles. The difference between the number of marbles in a red jar and a blue jar is 8. Find the number of marbles in each type of jar.

Answer 1

To find the number of marbles in each type of jar, you need to solve a system of equations. The number of marbles in the red jars is 10 each, and the number of marbles in the blue jar is 8.

Step-by-step explanation:

To find the number of marbles in each type of jar, let's assign variables.

Let R1 and R2 represent the number of marbles in the red jars, and B represent the number of marbles in the blue jar.

According to the problem, R1 + R2 + B = 28 and R1 - B = 8.

We can solve this system of equations using substitution or elimination method.

Using the elimination method, we can multiply the second equation by 1 and the first equation by -1 and then add the equations together to eliminate the B variable.

So, -R1 + R2 - B = -8 and R1 + R2 + B = 28 becomes:

R2 - R1 = -8

2R2 = 20

R2 = 10

Then, substituting the value of R2 into the first equation:

R1 + 10 + B = 28

R1 + B = 18

B = 8

Therefore, there are 10 marbles in one red jar, 10 marbles in the other red jar, and 8 marbles in the blue jar.