Q: Sean designs and sells patches. He orders his patches in a unit of 100 and is charged $1.25 per patch. If he turns around and sells all 100 patches for $12.00 each, what is his net profit?
A: He orders 100 patches and they cost $1.25 each so the patches are 100 * 1.25 = $125.00. He sells each of the 100 patches for $12.00 each so he makes 100 * 12 = $1,200.00. He makes $1,200.00 selling patches and spends $125.00 to have them made so his net profit is 1200 - 125 = $1,075.00. The answer is 1075.

Q: 400 adults and 200 children go to a Broadway show. The price of an adult ticket is twice that of a child's ticket. What is the price of an adult ticket if the total amount collected is $16,000?
A: Let X be the price of a child ticket. So the price of an adult ticket is X * 2. We know from the problem that 400 * X * 2 + 200 * X = 16,000. After multiplying, we have 800 * X + 200 * X = 16,000. Combining like terms, we have 1000 * X = 16,000. Dividing both sides by 1000, we have X = $16. The price of an adult ticket is $16 * 2 = $32. The answer is 32.

Q: Kenneth has $50 to go to the store. Kenneth bought 2 baguettes and 2 bottles of water. Each baguette cost $2 and each bottle of water cost $1. How much money does Kenneth have left?
A:
The cost of the baguettes is 2 × $2 = $4. The cost of the water is 2 × $1 = $2. The total cost of the shopping is $4 + $2 = $6. Kenneth has $50 − $6 = $44 left. The answer is 44.