Posted by saranghae12 on Tuesday, February 28, 2012 at 10:17pm.
i have two problems that i need to write an inequality for.
a) One third of a number, decreased by thirty six, is at most twenty two. Find the number.
b) A school's Spanish club is welling bumper stickers. They bought 100 for $55, and have to give 15 cents for every sticker sold. If they plan to sell each sticker for $1.25, how many do they have to sell to make a profit?
Please help and explain so i can understand. Thank you! :)

8th grade math  Steve, Wednesday, February 29, 2012 at 11:02am
number = n
one third of number is: n/3
decreased by 36 is: n/3  36
is at most 22: n/3  36 <= 22
so,
n/3  36 <= 22
n/3 <= 58
n <= 174

cost for n tickets: 55 + .15n
revenue: 1.25n
profit is when revenue > cost:
1.25n > 55 + .15n
1.1n > 55
n > 50
check:
cost for 50 = 55 + 7.50 = 62.50
revenue for 50 = 1.25 * 50 = 62.50
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