Question

a magician has 4 rabbits. each rabbit weighs the same. the combined weight of all the rabbits is 9.2 kilograms.
(a) let w be the weight of each rabbit (in kilograms). write an equation that can be used to find w. first choose an appropriate form. then fill in the blanks with the letter w and the numbers 4 and 9.2.
(b) solve your equation for w to find the weight of each rabbit.
kilograms

Explanation:

Part (a)

Step1: Identify the relationship

There are 4 rabbits, each with weight \( w \) kg. The total weight is the number of rabbits times the weight of one rabbit.

Step2: Form the equation

Number of rabbits is 4, weight of one is \( w \), total weight is 9.2. So \( 4\times w = 9.2 \) (multiplication represents the total from equal parts).

Part (b)

Step1: Start with the equation

We have \( 4w = 9.2 \) (from part a).

Step2: Solve for \( w \)

Divide both sides of the equation by 4: \( w=\frac{9.2}{4} \).

Step3: Calculate the division

\( \frac{9.2}{4}=2.3 \), so \( w = 2.3 \) kg.

Answer:

The equation is \( 4 \times w = 9.2 \) (or \( w \times 4 = 9.2 \))