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A company sells two products, A and B. Product A sells for $30 each, and Product B sells for $50 each. If 100 products are sold for a total of $3,800, how many of each product were sold?
Let x be the number of Product A sold, and y be the number of Product B sold.
The equations are: x + y = 100 and 30x + 50y = 3800.
Solving the first equation for y gives y = 100 - x.
Substitute into the second equation: 30x + 50(100 - x) = 3800.
Combine like terms: -20x = -1200, so x = 60.
#### 60 of A and 40 of B1. A scientist is conducting an experiment with bacteria that doubles in population every hour. If the initial population is 150 bacteria, what will the population be after 6 hours?
The population after 6 hours is 9600 bacteria.
A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?
#### Dimensions: 7m (width), 10m (length)