8) It costs a band $8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $20 each. Their total T-shirt-related profits (taking into account those they gave away) is $304, how many T-shirts did the band sell?

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Mathematics

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15 February, 16:05

8) It costs a band $8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $20 each. Their total T-shirt-related profits (taking into account those they gave away) is $304, how many T-shirts did the band sell?

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Answers (2)

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Brandt · Answer 1

If the t-shirts cost $8 to make, and the band sells them for 20$ they make a profit of $12 a shirt.

if after the concert, their profit is 304$ then I believe the way to solve it would be 304/12 which equals 25.3

However, they did not make a profit off of the 10 shirts that they gave away. 10*12 equals 120

304-120 equals 184

184/12 equals 15.

Your answer should be either 25 or 15

Yasmin · Answer 2

32 T-shirts. First, let's make an expression to handle the situation. "costs $8 per T-shirt produced" p = - 8n "gave away 10 T-shirts" p = - 8 (n+10) "sells others for $20 each." p = - 8 (n+10) + 20n "total T-shirt-related profits is $304" 304 = - 8 (n+10) + 20n Now solve for n 304 = - 8 (n+10) + 20n 304 = - 8n - 8*10 + 20n 304 = - 80 + 12n 384 = 12n 384 = 12n 32 = n So the band sold 32 T-shirts.