Tim and Kim are twins. At birth, Kim weighed 3 pounds more that 2/3 of Tim's weight. If Kim weighed 6 1/2 pounds at birth,how much did Tim weigh at birth?
Kim weighed 6.5lbs which is the same as 2/3t+3. so 6.5=3+2/3t
3.5=2/3t
t=5.25
To find out how much Tim weighed at birth, we need to follow the information given in the question. Let's break down the problem step by step:
Step 1: Let's define a variable. Let's say Tim's birth weight is X pounds.
Step 2: According to the question, Kim weighed 3 pounds more than 2/3 of Tim's weight at birth. So, we can calculate 2/3 of Tim's weight by multiplying X by 2/3:
2/3 * X = (2X)/3
Step 3: According to the question, Kim weighed 6 1/2 pounds at birth. Since Kim weighed 3 pounds more than 2/3 of Tim's weight:
(2X)/3 + 3 = 6 1/2
Step 4: Convert the mixed number to an improper fraction:
6 1/2 = 13/2
Step 5: Solve the equation. Multiply both sides of the equation by 3 to get rid of the fraction:
2X + 9 = 39
Step 6: Now, isolate X by subtracting 9 from both sides of the equation:
2X = 39 - 9
2X = 30
Step 7: Divide both sides of the equation by 2 to solve for X:
X = 30/2
X = 15
Therefore, Tim weighed 15 pounds at birth.