Question

Three brothers Adam, Paul, and Jake are standing on a large carnival scale. The total weight for all three boys reads 180 pounds on the scale. The ratio of the weights between Adam and Jake is 2:3. If Jake weighs 60 pounds, how much does paul weigh?

Answer 1

To find Paul's weight, we use the given information and set up equations to solve for the weights of Adam and Jake. We then calculate Paul's weight using the total weight of the three brothers.

Step-by-step explanation:

To find Paul's weight, we first need to determine the weight of Adam. Since the ratio of the weights between Adam and Jake is 2:3, and Jake weighs 60 pounds, we can calculate Adam's weight as follows:

Let x be Adam's weight. We can set up the equation (2/3) * x = 60 and solve for x.

By cross multiplying, we have 2x = 180. Dividing both sides by 2, we get x = 90. Therefore, Adam weighs 90 pounds.

Now, we know that the total weight for all three brothers is 180 pounds. So, Paul's weight can be found by subtracting the sum of Adam and Jake's weight from the total weight:

Paul's weight = Total weight - Adam's weight - Jake's weight

Answer 2

Paul = 30 pounds

Step-by-step explanation:

If Adam (A), Paul(P) and Jake(J) together they weigh 180 pounds (A+P+J=180); and Adam and Jake is 2:3 (2A=3J) then how much does paul weigh?

A+P+J=180, 2A=3J, J=60 we have; A=(3/2)J=(3/2)*60 → A=90, 90+P+60=180 →

P=180-90-60 → P=30