Question

Pre-orders for the year cost $38 eac, while full pricce costs $45 each. If 24 students in mr.hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ?

Answer 1

15 pre-orders and 9 full price

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Explanation:

Answer 2

Answer: 15 students pre-ordered and 9 students bought their yearbook at full price.

Explanation:

Let x be the number of students pre-ordered \and y be the number of students bought their yearbook at full price .

As per given , we have

Pre-orders for the year cost $38 each, while full price costs $45 each.

If 24 students in Mr.Hillmans homeroom purchased yearbooks for a total of $975.

i.e.
`x+y=24` ...(i)

`38x+45y=975` ...(ii)

Multiplying equation (i) by 38 , we get

`38x+38y=912` ...(iii)

Subtracting (iii) from (ii) , we get

`7y=63\\\Rightarrow y=9`

Put value of y in (i) , we get

`x+9=24\Rightarrow\ x=15`

Hence, 15 students pre-ordered and 9 students bought their yearbook at full price.