Question

There were 150 people at the Junior-Senior dance Sasha and her friends attended. Junior tickets were $2.00 each and Senior tickets were $3.50 each. The total receipts for the dance were $405. How many Juniors bought tickets?

70

80

90

100

Answer 1

pleasee heelllp. ugh.

Answer 2

Let j = the number of juniors
Let s = the number of seniors
Now from the information given we can develop the following two equations.

1. j + s = 150

Now for the money.
2, You see we now have a system of equations, 2 equatios, 2 unknownhs,
j($2.00) + s(#3.50)=$405

Answer 3

There are two common methods to solve this system of linear equations. Which method do you prefer?

Answer 4

assume all seniors bought tickets @ $3.50. So $3.50 * 150 = 525.

Answer 5

then subtract the given total from 525

Answer 6

you should have $120 difference, now the difference in a junior ticket is $1.50. so how many $1.50 can you get from $120

Answer 7

your answer is 80

Answer 8

I am not sure what method to use on this..

Answer 9

The methods usually used are "substitution" or "elimination"

Answer 10

I used the elimination method

Answer 11

Lets use substitution: From equation 1. s=150-j we now substitute the s value in equation 2. j($2.00) + (150-j)($3.50)=$405
2j+(3.5)(150)-3.5j=$405
-1.5j=-120
j=80

Answer 12

As you can see either method the results are the same.