Question: The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity?
Answer: Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477. The answer is 477.

Question: Jack has $45 and 36 euros. If each euro is worth two dollars, how much money does he have total in dollars?
Answer: First find how much the euros are worth in dollars: 36 euros * $2 / euro = $72. Then add that to the amount Jack has in dollars: $72 + $45 = $117. The answer is 117.

Question: At a people counting station, the number of people counted on the first day was twice the total number counted on the second day. If 500 people were counted on the second day, how many people were counted on the two days?
Answer: There were 2 * 500 = 1000 people at the counting station who were counted on the first day. In the two days, 1000 + 500 = 1500 were counted at the station. The answer is 1500.

Question: Aitana and Jayda went to Silverlake Flea market to buy some handmade crafts. Aitana spent 2/5 times more money than Jayda at the market. If Jayda spent $400, calculate the total amount of money they spent together.
Answer:
If Jayda spent $400 at the market, Aitana spent 2 / 5 * 400 = $160 more on handmade crafts. Since Aitana spent $160 more than Jayda at the market, she spent $400 + $160 = $560. The total amount of money they spent together is $400 + $560 = $960. The answer is 960.