The band members sold tickets to their concert performance. Some were $3 tickets, and some were $8 tickets. There were 10 mkore than twice as many $8 tickets sold as $3 tickets. The total sales were $1,488. How many tickets of each price were sold

the number of $3 ticket that were sold is 72

the number of $8 ticket that were sold is 154

Step-by-step explanation:

Let x represent the number of $3 ticket that were sold.

Let y represent the number of $8 ticket that were sold.

The band members sold tickets to their concert performance. Some were $3 tickets, and some were $8 tickets. The total sales were $1,448. It means that

3x + 8y = 1448- - - - - - - - - -- - - -1

There were 10 more than twice as many $8 tickets sold as $3 tickets. It means that

y = 2x + 10

Substituting y = 2x + 10 into equation 1, it becomes

3x + 8(2x + 10) = 1448

3x + 16x + 80 = 1448

19x = 1448 - 80 = 1368

x = 1368/19

x = 72

y = 2x + 10 = 2 × 72 + 10

y = 154

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560