Pre Algebra homework help
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Pre Algebra homework help

[From: ] [author: ] [Date: 12-05-14] [Hit: ]
The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.320 tickets were sold to the school play. There were 3 times as many student tickets sold as adult tickets. Find the number of each.......
I'm having trouble figuring out 5 math problems. I asked my dad if he could figure them out and he couldn't so I was wondering if I could get help. I need to also show the work on how to get the answers too.

One of two numbers is two thirds the other number. The sum of the numbers is 45. Find the numbers.

The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.

320 tickets were sold to the school play. There were 3 times as many student tickets sold as adult tickets. Find the number of each.

The first number is eight more than the second number. Three times the second number plus twice the first number is equal to 26. Find the numbers.

Dan has five times as many $1 bills as $5 dollar bills. He has a total of 48 bills. How many of each does he have?

Thanks.

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One of two numbers is two thirds the other number. The sum of the numbers is 45. Find the numbers.
x+ (2/3)x = 45
(5/3)x = 45
x= 27
45-27= 18
The two numbers are 27 and 18
The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.
(2x+3) - x= 19
x+3= 19
x= 16
2x+3= 35
The two numbers are 16 and 35
320 tickets were sold to the school play. There were 3 times as many student tickets sold as adult tickets. Find the number of each.
3x+ x = 320
4x= 320
x= 80
3x= 240
There were 240 student tickets sold and 80 adult tickets sold.
The first number is eight more than the second number. Three times the second number plus twice the first number is equal to 26. Find the numbers.
First number is x+8 and the second number is x.
3x + 2(x+8) = 26
5x+ 16= 26
5x= 10
x= 2
X+8= 10
The two numbers are 2 and 10.
Dan has five times as many $1 bills as $5 dollar bills. He has a total of 48 bills. How many of each does he have?
5x+ x = 48
6x= 48
x= 8
5x= 40
Dan has 8 $5 dollar bills and 40 $1 dollar bills.

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1.
Number 1 =x
number 2 = y
x = 2/3y =...
First: ... x - 2/3y = 0
Second: x + y = 45
First multiplied by negative 1 (to cancel out the x's) :-x + 2/3y = 0
Add modified first and second together: 0 + 5/3y = 0
y = 0

Plug y in.
x = 2/3(0)
x = 0

They're both 0 in example one.

Do the other 4 the same way.
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