How long does each routine last? An arm routine takes minutes to complete, and an abdominal routine takes minutes to complete.

Question

Finn is trying to incorporate more exercise into his busy schedule. He has several short exercise routines he can complete at home. Last week, he worked out for a total of 67 minutes by doing 1 arm routine and 3 abdominal routines. This week, he has completed 1 arm routine and 1 abdominal routine and spent a total of 29 minutes exercising.

Answer 1

Let x = number of minutes to do an arm exercise and y = number of minutes to do an abdominal exercise

x + 3y = 67

x + y = 29

From the second equation, y = 29 - x

So, x + 3(29 - x) = 67

Solve for x.