A number is chosen at random from the integers 10 to 30 inclusive. Find the probability that the number is a multiple of 3.

For each part, find how many numbers have the stated characteristic, then divide by 21.

e.g. multiples of 5:

these would be 10, 15, 20, 25, and 30

so prob (a multiple of 5 ) = 5/21

Do the others the same way

For each part, find how many numbers have the stated characteristic, then divide by 21.

e.g. multiples of 5:

these would be 10, 15, 20, 25, and 30

so prob (a multiple of 5 ) = 5/21

Do the others the same way

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

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