Video Transcript
Three factories manufacture identical products in the ratio 13, six, 15. The third factory makes 924 more products than the first factory in one month. How many products does each factory make that month?
We are told that the ratio of products is 13, six, 15. This means that, for every 13 products factory one makes, factory two makes six products, and factory three makes 15 products. We’re also told that in one month, the third factory makes 924 more products than the first factory. The difference between the ratios of these two factories is two. This means that two parts of the ratio is equal to 924 products. Dividing this by two, we can calculate the number of products that correspond to one part. 924 divided by two is 462.
We need to multiply each of the numbers in our ratio by 462. 13 multiplied by 462 is 6006. Six multiplied by 462 is 2772. Finally, 15 multiplied by 462 is 6930. The ratio 6006, 2772, 6930 is equivalent to 13, six, and 15. We can therefore conclude that, in the given month, factory one produced 6006 products, factory two 2772 products, and factory three 6930 products. We could do a final check to make sure that the difference between factory three and factory one was 924.
