Pam likes to practice dancing while preparing for a math tournament. she spends 80 minutes every day practicing dance and math. to her concentrate better on math, she spends 20 minutes more dancing than doing math. part a: write a pair of linear equations to show the relationship between the number of minutes pam practices math every day (x) and the number of minutes she practices dances every day (y).
part b: how much time does pam spend on practicing math every day?
part c: is it possible for pam to have spent 60 minutes practicing dance every day? explain your reasoning.

Variables:
y = time doing dance
x = time doing math
she spends 80 minutes every day practicing dance and math.
she spends 20 minutes more dancing than doing math.
  part a: write a pair of linear equations to show the relationship between the number of minutes pam practices math every day (x) and the number of minutes she practices dances every day (y).
x + y = 80
y = 20 +x
part b: how much time does pam spend on practicing math every day?
replace y in the firs equation with 20 + x
x + 20 + x = 80
2x = 60
x = 30 min
part c: is it possible for pam to have spent 60 minutes practicing dance every day? explain your reasoning.
no. as obtained in the part b, she practices math during 30 minutes; then, given that she spends 20 minutes more practicing dance, she spends only 30min + 20 min = 50 min practicing dance.