Pre-orders for the yearbook cost $38 each and full price cost $45 each. if 24 students in mr. hillman's class purchased yearbooks for a total of $975, how many students pre-ordered and how many paid full price?

15 students preordered the year book and 9 students paid full price.

Solution:

Given that  

Cost of pre-ordered year book = each

Cost of full price of year book = each

Number of students in Mr. Hillman's class purchased yearbooks = 24

Total price spent by 24 students to purchase year book =

Need to determine number of students pre-ordered and number of students paid full price.

Let assume number of student pre-ordered year book = x

As out of 24, x students pre-ordered the yearbook , so remaining are the ones who paid full price

So number of students paid full price =

Money spent by students who pre-ordered the book = number of student pre-ordered year book multiplied by Cost of 1 pre-ordered year book =

Money spent by students who paid full price = number of students paid full price x Cost of 1 full price year book =

Total price spent by 24 students to purchase year book = Money spent by students who pre-ordered the book + Money spent by students who paid full price

On solving above expression for x, we get

Number of student pre-ordered year book =

Number of students paid full price =

Hence 15 students pre-ordered the year book and 9 students paid full price.

i’m here for points.