Math Problem Help Please?

Question

A glass packer is paid eight cents for each article packed but is fined twenty-five cents for each article that he breaks. his net earnings for one day where he sucessfully packed ten more than thirty times as many articles he broke were $18. how many articles did he sucessfully pack that day? please show a step by step solving method using a variable expression representing each unknow quantity please

Answer 1

Let x be packed items

Let y be broken items

0.08x - 0.25y = 18  (packed - broken = 18) Eq. 1

x = 10 + 30y  (packed = 10 more than 30 times broken) Eq.2

y = (0.32x - 72) (solve Eq 1 for y)

x = 10 + 30 [(0.32x - 72)] (substitute for y in Eq 2)

x = 10 + 9.6x - 2160

x  = 2150 * 10 / 86 = 250 (packed)

Answer: 250 packed