Alexander P. answered 05/18/23
Experienced Tutor in High School and College Level Mathematics
Let T be the number of tie-dyed shirts he sold and S be the number of silkscreen shirts he sold. Since the number of tie-dyed shirts sold is 3 times the number of silkscreen shirts, we know that T = 3S. Also, because he sold 152 shirts altogether, we know that T + S = 152.
First, we can plug in 3S for T in the equation T + S = 152:
3S + S = 152
4S = 152
S = 152/4
S = 38
Now, since we know that T = 3S and S = 38, we can plug in 38 for S and solve for T:
T = 3(38) = 114
Therefore, the man sold 114 tie-dyed shirts.