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Question
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.
How many kilograms did the pig gain each week?
Responses
A 5.75 kg5.75 kg
B 6.25 kg6.25 kg
C 6.75 kg6.75 kg
D 7.25 kg
To solve the equation (18 − 10)x + 30 = 80, we first simplify it by subtracting 10 from 18:
8x + 30 = 80
Next, we isolate x by subtracting 30 from both sides:
8x = 50
Finally, we solve for x by dividing both sides by 8:
x = 6.25
Therefore, the pig gained 6.25 kg each week, which corresponds to option B.