Question

zach (z) eats 6 more eggs than paul (p) in a week. the sum of eggs eaten is 40. find the number of eggs each person eats.
z = ? p =

Explanation:

Step1: Define variables

Let \(P\) = eggs Paul eats, \(Z = P + 6\)

Step2: Set up sum equation

\(Z + P = 40\), substitute \(Z\):
\((P + 6) + P = 40\)

Step3: Simplify and solve for P

Combine like terms: \(2P + 6 = 40\)
Subtract 6: \(2P = 40 - 6 = 34\)
Divide by 2: \(P = \frac{34}{2} = 17\)

Step4: Calculate Z

Substitute \(P=17\) into \(Z = P + 6\):
\(Z = 17 + 6 = 23\)

Answer:

\(Z = 23\), \(P = 17\)