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In Santa's room, there are 144 books in two bookcases. One bookcase has 20 more books than the other. How many books are in each bookcase?

Sagot :

Solution

Let x represent the number of books first bookcase

Then x +20 number of books in the second bookcase

Since, the total number of books is 144

Therefore

[tex]\begin{gathered} x+x+20=144 \\ 2x+20=144 \\ 2x=144-20 \\ 2x=124 \\ divide\text{ both sides byn2} \\ \frac{2x}{2}=\frac{124}{2} \\ \\ x=62books \end{gathered}[/tex]

The second bookcase

[tex]\begin{gathered} x+20 \\ 62+20 \\ =82books \end{gathered}[/tex]