SOLUTION: For every shirt a tailor makes for a shop, he earns $40. On the other hand, for every shirt that he damages, he will have to pay the shop $15. Last week, for every 30 shirts he mad

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Question 145553: For every shirt a tailor makes for a shop, he earns $40. On the other hand, for every shirt that he damages, he will have to pay the shop $15. Last week, for every 30 shirts he made, he damaged 5 shirts. He earned $64.75 from the shirts he made.
(a) How many good shirts were made last week?
(b) How much less money did he earn because of the damage shirt?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
For every shirt a tailor makes for a shop, he earns $40. On the other hand, for every shirt that he damages, he will have to pay the shop $15. Last week, for every 30 shirts he made, he damaged 5 shirts. He earned $64.75 from the shirts he made.
:
The last statement does not make any sense. His earned amt has to be a lot more and a multiple of $5
:
Anyway here is how I would do it.
:
Let x = shirts made
let y = shirts damaged
;
"Every 30 shirts he made, he damaged 5 shirts." an equation for this:
x%2Fy = 30%2F5
Cross multiply
5x = 30y
x = 30y%2F5
x = 6y
:
40x - 15y = ??
Substitute 6y for x, find y
40(6y) - 15y = ??
240y - 15y = ??
225y = ??
(a) How many good shirts were made last week?
(b) How much less money did he earn because of the damage shirt?