Answer:
There are 14 marbles in each red jar and 2 marbles in the blue jar
Step-by-step explanation:
There are two red jars of marbles and one blue jar of marbles.
Let the number of marbles in the red jar be x.
Let the number of marbles in the blue jar be y.
There are 30 marbles in total. This means that:
2x + y = 30 _____________ (1)
The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:
x - y = 12 ______________(2)
We have a system of simultaneous equations:
2x + y = 30 _____________ (1)
x - y = 12 ______________(2)
Add them together:
3x = 42
=> x = 42/3= 14
Put the value of x in (2)
14 - y = 12
=> y = 14 - 12 = 2
Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.
