Case bought a 10-week-old pig that weighed 30 kg. At 18 weeks, the pig weighed 80 kg. The equation (18 − 10)x + 30 = 80 can be used to find the number of kg (x) the pig gained each week.

Question

How many kilograms did the pig gain each week?

A 5.75 kg
B 6.25 kg
C 6.75 kg
D 7.25 kg

Answer 1

To solve for \( x \) in the equation \( (18 - 10)x + 30 = 80 \):

1. First, simplify the equation: \[ 8x + 30 = 80 \]

2. Next, subtract 30 from both sides: \[ 8x = 80 - 30 \] \[ 8x = 50 \]

3. Now, divide both sides by 8 to solve for \( x \): \[ x = \frac{50}{8} = 6.25 \]

So, the pig gained 6.25 kg each week.

The answer is \( \text{B } 6.25 , \text{kg} \).