Question

a clothing factory makes t - shirts. it planned to take 15 days to make them all. but every day, the factory made 30 more t - shirts than they planned. finally, they finished 3 days earlier than planned. suppose the factory planned to make ( x ) t - shirts per day. which of the following equations is correct? a ( 15x = 12(x + 30) ) b ( 15x = 18(x - 30) ) c ( 12x = 15(x - 30) )

Explanation:

Step1: Define total T-shirts planned

Total planned T-shirts = $15x$

Step2: Calculate actual production details

Actual days = $15-3=12$, Actual daily output = $x+30$
Total actual T-shirts = $12(x+30)$

Step3: Equate total T-shirts

Total planned = Total actual, so $15x=12(x+30)$

Answer:

A. $15x = 12(x + 30)$