Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball 25 minutes more than he plays volleyball.
part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points)
part b: how much time does eric spend playing volleyball every day? (3 points)
part c: is it possible for eric to have spent 35 minutes playing basketball every day? explain your reasoning. (2 points)

Let   x be the number of minutes eric plays basketball
and y be the number of minutes eric plays volleyball.

a) 

equation (i): x+y=95,

(since the total number of minutes eric plays is 95)

equation (ii): x=y+25

(eric plays 25 minutes more basketball, which means x is the larger number)

b) substitute x with y+25 in equation (i), since they are equal by equation (ii)

x+y=95

(y+25)+y=95

2y+25=95

2y=70

y=35 (minutes) 

eric spends 35 minutes playing volleyball

c. no, because he spends more time playing basketball than volleyball. he spent 35 minutes playing volleyball so he must spend more than 35 minutes, playing basketball.



 

No solution : there is no number of boxes that she bought