Three tanks contain water. The number of litres in each is shown in the table: Tank A: 3600 L, Tank B: 1600 L, Tank C: 3800 L. Water is moved from each of Tank A and Tank C into Tank B so that each tank contains the same volume of water. How many litres of water are moved from Tank A to Tank B?
A number or a short expression. Spacing and $ signs are ignored.
Solution
In total, the three tanks contain 3600L+1600L+3800L=9000L. If the water is divided equally between the three tanks, each will contain 31⋅9000L=3000L. Therefore, 3600L−3000L=600L needs to be moved from Tank A to Tank B.
Want a route through all this instead of an archive? The track
puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.
Source: Omni-MATH,
licensed Apache-2.0.
Statement and solution reproduced as published; topic and difficulty added by this site.