Bathroom 4

Dolor puts 3 1/2 pails of water into a water container in the bathroom daily. Her daughter, Lei, uses 2 1/4 pails of water daily when taking a bath. If the water container had 5 5/8 pails of water at the start, how much water would be left in it after five days?

Correct answer:

x =  11 ⁷⁄₈ = 95/8

Step-by-step explanation:

$$\begin{gathered} d=3\frac{1}{2}=3+\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{6+1}{2}=\frac{7}{2}=3\frac{1}{2}=3.5 \\ l=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2\frac{1}{4}=2.25 \\ n=5 \\ s=5\frac{5}{8}=5+\frac{5}{8}=\frac{5\cdot 8+5}{8}=\frac{40+5}{8}=\frac{45}{8}=5\frac{5}{8}=5.625 \\ x=s+n\cdot (d-l)=\frac{45}{8}+5\cdot (\frac{7}{2}-\frac{9}{4})=\frac{95}{8}=11\frac{7}{8}=11.875 \end{gathered}$$

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