Math Games

Archive for June, 2010

Question: Tickets to a recent high school basketball game cost $1.50 for students and $2.50 for adults. 600 tickets were?

Question Continued:

Tickets to a recent high school basketball game cost $1.50 for students and $2.50 for adults. 600 tickets were sold, and the total revenue was $1020. How many of each ticket were sold?

math homework

Answer: Let's Set it up:
X+Y = 600 Tickets, therefore X= 600-Y

$1.50 (X) + $2.50 (Y) = $1020

Replace X with (600-Y) from first equation

($1.50) (600-Y) + $2.50Y = $1020

$900 - $1.50Y + $2.50Y = $1020

$900 + Y = $1020
Y= $1020 - $900
Y = 120

If Y = 120, and if X+Y = 600 --- Then X = 480

So 480 tickets sold at $1.50
and 120 tickets sold at $2.50

On Beyond: Miller/Urey Health Careers Games Math

Question: Math Probability - Dice and Cards?

The Aces and Kings are removed from a standard deck of playing cards and then the following little game is played. Pick a card from the well-shuffled, reduced deck and then roll a pair of dice.
Find the probability that:

a) the face value of the selected card matches that of the sum obtained on the dice (assume that Jacks and Queens have values of 11 and 12 respectively.)
b) the card value is 10 or the dice value is 10. Are the events here mutually excluive? Independent? Briefly Ex

Answer: a) You can do a long calculation adding up probabilities of both 2, both 3 etc but this is not necessary. Whatever the dice total comes to there will be a 1/11 probability that the card matches it.

b) Card value 10 and dice value 10 are not mutually exclusive because they can both occur at the same trial. They are independent because the outcome of one does not affect the probability of the other.

Dice Trick Solution