Question

Two wrestlers are preparing for a wrestling match in 8 months. Crybaby Cannon currently weighs 300 pounds and is losing 4 pounds each week. Pork Chop Cash currently weighs 240 pounds and is gaining 6 pounds each week. How many weeks will it take for Crybaby Cannon and Pork Chop Cash to weigh the same?

Answer 1

It will take 6 weeks for Crybaby Cannon and Pork Chop Cash to weigh the same.

Step-by-step explanation:

To find out how many weeks it will take for Crybaby Cannon and Pork Chop Cash to weigh the same, we need to set up an equation based on their weights and rates of change. Let's call the number of weeks it will take for them to weigh the same as 'n'.

For Crybaby Cannon, his weight after 'n' weeks can be represented by the equation: 300 - 4n. For Pork Chop Cash, his weight after 'n' weeks can be represented by the equation: 240 + 6n. We set these two equations equal to each other to find the value of 'n'.

300 - 4n = 240 + 6n

Adding 4n to both sides and subtracting 240 from both sides, we get:

300 - 240 = 6n + 4n

60 = 10n

n = 6

Therefore, it will take 6 weeks for Crybaby Cannon and Pork Chop Cash to weigh the same.