Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool had 4166 liters of water. Water is being drained from the first pool at a rate of 27 liters per minute. Water is being drained from the second pool at a rate of 39 liters per minute. Let be the number of minutes water has been drained. (a) For each pool, write an expression for the amount of water in the pool after minutes. (b) Write an equation to show when the two pools would have the same amount of water.

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10-06-2021
Mathematics

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Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool had 4166 liters of water. Water is being drained from the first pool at a rate of 27 liters per minute. Water is being drained from the second pool at a rate of 39 liters per minute. Let be the number of minutes water has been drained. (a) For each pool, write an expression for the amount of water in the pool after minutes. (b) Write an equation to show when the two pools would have the same amount of water.

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coolstick coolstick · Answer 1 · 2021-06-11T00:17:47+02:00

Step-by-step explanation:

(a) Let's start with the first pool. It has 3650 liters of water. For every minute, 27 liters are being drained. Thus, we can write its equation as 3650 liters - 27 liters per minute = end amount of liters. If we write minutes as m, we can say 3650-27m is our expression. Similarly, for the second one, we have 4166-39m as our answer

(b) For this, we just have to make the two expressions equal, so

4166-39m = 3650-27m