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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