Question

There were 150 freshman and sophomores at the high school musical Reese and her friends attended. Freshman tickets were $2.00 each and sophomore tickets were $3.00 each. The receipts for freshman and sophomore tickets totaled $390. How many sophomores bought tickets?

Answer 1

urgg why do you do this too me.. alright let me try

Answer 2

Haha because you have to learn too :P

Answer 3

true but its hard! do i plug in the numbers too 2F + 3S = 400?

Answer 4

@DoomDude You want to help him figure the rest out ill brb!

Answer 5

but isnt it supposed to equal 400?

Answer 6

One sec i just confused myself, im going to write it in a different way!

Answer 7

he easiest way to figure this out is to make two equations from the information given.

First, we know the total number of freshman and sophomores that attended were 150. So:
f + s = 150

Second, we know that the total profit made was $390 from $2 freshmen and $3 sophomore tickets. So:
2f + 3s = 390

So the two equations are:
f + s = 150
2f + 3s = 390

Let's now isolate one variable in the first equation (I'll do it with f, since we want to find s; isolating s will give you an extra (though simple and easy) step to do):
f = 150 - s

Now plug this isolated variable into the second equation for "f":
2f + 3s = 390
2(150 - s) + 3s = 390

Now solve for s (which will give you the number of sophomores that bought tickets):
2(150 - s) + 3s = 390
(Simplified by distributing the 2) 300 - 2s + 3s = 390
(Simplify by adding -2s and 3s) 300 + s = 390
(Subtract 300 from both sides) s = 90
so it's 90.

Answer 8

you sure? lol how do you know this so well?

Answer 9

Well first off, ive learned this and secondly i have a geometry teacher online lol :) He's on my yahoo!

Answer 10

lmao lucky! i got another question im about to put up.. i have online classes -.-

Answer 11

Me too! Lol and okay