
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
Solve the problem by forming equations. A stationery store sells some stationery items at the following unit prices:

| Type               | Price       |
|--------------------|-------------|
| Red-black pen      | $10$ yuan per pen |
| Black pen refill   | $6$ yuan per box |
| Red pen refill     | $8$ yuan per box |

During the "Double 11" period, due to a promotional activity, black pen refills are sold at a 50% discount, and red pen refills are sold at a 25% discount. Xiaojie purchased a total of 2 red-black pens, and 10 boxes of red and black pen refills, spending a total of $74$ yuan.

$(1)$ How many boxes of black and red pen refills did Xiaojie buy?

$(2)$ How much money did Xiaojie save compared to buying at the original price?

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