Question

A small book publisher knows that 20 books weigh 37 lbs. How much do 34 books weigh

Answer 1

Answer:

62.9 lbs

Step-by-step explanation:

20 34

37 x

20x = 1258

x = 62.9

Answer 2

Answer:

$\boxed {\boxed {\sf 62.9 \ pounds}}$

Step-by-step explanation:

Let's create a proportion using this setup:

$\frac{books}{weight}=\frac{books}{weight}$

We know that 20 books weight 37 pounds. We don't what 34 books weigh, so the weight is x pounds.

$\frac{20 \ books}{37 \ pounds}=\frac{34 \ books}{x \ pounds}$

$\frac{20}{37}=\frac{34}{x}$

Cross multiply. Multiply the first numerator by the second denominator. Then, the first denominator and second numerator.

$20*x=37*34\\20x=1258$

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.

$20x/20=1258/20 \\x= 1258/20 \\x=62.9$

34 books weigh 62.9 pounds.