Question

There are two red jars of marbles and one blue jar of marbles. Jars of a certain color have the same number of marbles in them. There are 42 marbles in total. The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. Find the number of marbles in each type of jar. PLS HELP

Answer 1

Let's call the number of marbles in each red jar "r" and the number of marbles in the blue jar "b". We know that there are two red jars, so the total number of red marbles is 2r. We also know that there are 42 marbles in total, so we can set up the equation:

2r + b = 42

We also know that the difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12:

r - b = 12

We now have two equations with two unknowns, which we can solve using substitution or elimination. Let's solve using elimination:

2r + b = 42

r - b = 12

Add the two equations together to eliminate "b":

3r = 54

Divide both sides by 3 to find the value of "r":

r = 18

Now we can use either of the original equations to find the value of "b". Let's use the second equation:

r - b = 12

Substitute the value of "r" we just found:

18 - b = 12

Subtract 12 from both sides:

6 = b

Therefore, there are 18 marbles in each red jar and 6 marbles in the blue jar.

Explanation: