Tyler wears a jacket to school every 3rd day and a scarf to school every 8th day. what will be the first day tyler will wear his jackets and scarf to school on the same day.

24th day will  be the first day on which Tyler will wear his jackets and scarf to school

Step-by-step explanation:

We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)

Finding the LCM of(3,8)

List all prime factors for each number.

Prime Factorisation of 3 shows:

3 is prime  =>  

Prime Factorisation of 8 is:

2 x 2 x 2  =>  

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new super-set list is

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24

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

welcome!