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The expression 100+20m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends m minutes filling his pool. What is the volume of water in Eduardo's pool after he fills it for 5(1)/(4) minutes? liters

The expression 100+20m 100+20 m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends m m minutes filling his pool.\newlineWhat is the volume of water in Eduardo's pool after he fills it for 514 5 \frac{1}{4} minutes?\newlineliters

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Q. The expression 100+20m 100+20 m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends m m minutes filling his pool.\newlineWhat is the volume of water in Eduardo's pool after he fills it for 514 5 \frac{1}{4} minutes?\newlineliters
  1. Understand Given Expression: Understand the given expression and what is asked.\newlineThe expression for the volume of water in Eduardo's pool is 100+20m100 + 20m, where mm represents the number of minutes spent filling the pool. We need to find the volume after 5145\frac{1}{4} minutes.
  2. Convert to Improper Fraction: Convert the mixed number 5145\frac{1}{4} minutes into an improper fraction to simplify the calculation.\newline5145\frac{1}{4} minutes = (5×4+1)/4=(20+1)/4=214\left(5 \times 4 + 1\right)/4 = \left(20 + 1\right)/4 = \frac{21}{4} minutes.
  3. Substitute Value in Expression: Substitute the value of mm in the expression with the improper fraction.\newlineVolume =100+20×(214)= 100 + 20 \times \left(\frac{21}{4}\right)
  4. Perform Multiplication: Perform the multiplication to find the volume.\newlineVolume = 100+20×(214)=100+(20×21)/4100 + 20 \times \left(\frac{21}{4}\right) = 100 + \left(20 \times 21\right)/4
  5. Calculate Division: Calculate the multiplication part of the expression.\newline(20×21)/4=420/4(20 \times 21)/4 = 420/4
  6. Add to Initial Volume: Perform the division to simplify the expression. 420/4=105420/4 = 105
  7. Add to Initial Volume: Perform the division to simplify the expression.\newline420/4=105420/4 = 105Add the result to the initial volume of water in the pool.\newlineVolume = 100+105=205100 + 105 = 205 liters

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