Answer:
[tex]\boxed {\boxed {\sf 62.9 \ pounds}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup:
[tex]\frac{books}{weight}=\frac{books}{weight}[/tex]
We know that 20 books weight 37 pounds. We don't what 34 books weigh, so the weight is x pounds.
[tex]\frac{20 \ books}{37 \ pounds}=\frac{34 \ books}{x \ pounds}[/tex]
[tex]\frac{20}{37}=\frac{34}{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator. Then, the first denominator and second numerator.
[tex]20*x=37*34\\20x=1258[/tex]
Since we are solving for x, we have to isolate the variable. It is being multiplied and the inverse of multiplication is division. Divide both sides by 20.
[tex]20x/20=1258/20 \\x= 1258/20 \\x=62.9[/tex]
34 books weigh 62.9 pounds.
