
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two jars each contain the same number of marbles, and every marble is either blue or red. In Jar $1$, the ratio of blue to red marbles is $7:3$, and the ratio of blue to red marbles in Jar $2$ is $3:2$. There are a total of $80$ red marbles in all. How many more blue marbles are in Jar $1$ than in Jar $2$?
A) $\frac{45}{7}$
B) $\frac{70}{7}$
C) $\frac{80}{7}$
D) $\frac{90}{7}$
E) $\frac{100}{7}$

Present the answer in LaTex format: \boxed{Your answer}
user