A concert charges $24.50 per daily adult ticket and $13.75 per child’s ticket. A group of 90 people paid $1560.00 for tickets. Write a system of equations that could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?I know the answer i just need to know how to solve it. Thanks :)

Answers

Answer 1

Answer: x=adults
y=childern

x+y=90
24.50x+13.75y=1560

so
mutliply the first equation by -13.75 and add to second equaiton

-13.75x-13.75y=-1237.5
24.50x+13.75y=1560 +
10.75x+0y=323

10.75x=322.5
divide both sides by 10.75
x=30

x=30
sub back

x+y=90
30+y=90
minus 30 both sides
y=60

x=30
y=60
30 adults
60 kids

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A first number plus a second number is 10. Twice the first number plus the second totals 26.

Answers

1st number = x
2nd number = y

2x + y = 26
-
x + y = 10

x = 16

26 - (2 x 16) = -6

10 - 16 = -6

Number 1 is 16
Number 2 is -6

What do I do this is new math for me I'm not sure what to do here

Answers

Hello,

It was difficult to retreive your problem
but here his the answer

barrel_1,barrel_2,bucket 4,bucket 5

10 10 0 0|
6 10 4 0|
1 10 4 5|
10 1 4 5|
10 5 0 5|
5 10 0 5|
5 6 4 5|
9 6 0 5|
9 2 4 5|
10 2 3 5|
2 10 3 5|
2 9 4 5|
6 9 0 5|
6 5 4 5|
10 5 4 1|
5 10 4 1|
9 10 0 1|
10 9 0 1|
6 9 4 1|
6 10 3 1|
10 6 3 1|
9 6 4 1|
10 6 4 0|
10 6 0 4|
6 10 0 4|
6 6 4 4|
6 6 3 5|
6 6 8 0|
2 10 8 0|
0 10 8 2|
10 0 8 2|
7 0 8 5|
0 7 8 5|
8 7 0 5|
4 7 4 5|
4 10 1 5|
10 4 1 5|
7 4 4 5|
7 8 0 5|
3 8 4 5|
3 10 2 5|
10 3 2 5|
8 3 4 5|
10 3 4 3|
3 10 4 3|
7 10 0 3|
10 7 0 3|
6 7 4 3|
6 10 1 3|
10 6 1 3|
7 6 4 3|
7 6 2 5|
10 6 2 2|
6 10 2 2|
4 10 4 2|
10 4 4 2|
10 8 0 2|
8 10 0 2|
8 6 4 2|
8 6 1 5|
8 10 1 1|
10 8 1 1|
7 8 4 1|
7 10 2 1|
10 7 2 1|
8 7 4 1|
9 7 4 0|
10 7 3 0|
7 10 3 0|
7 9 4 0|
10 9 1 0|
9 10 1 0|
9 5 1 5|
10 5 1 4|
5 10 1 4|
5 7 4 4|
9 7 0 4|
9 3 4 4|
10 3 3 4|
3 10 3 4|
3 9 4 4|
7 9 0 4|
7 5 4 4|
7 5 3 5|
10 5 3 2|
5 10 3 2|
5 9 4 2|
9 9 0 2|
9 9 2 0|
8 10 2 0|
10 8 2 0|
8 8 4 0|
8 8 0 4|
4 8 4 4|
4 10 2 4|
10 4 2 4|
8 4 4 4|
8 4 3 5|
10 4 3 3|

Which juice container is larger 2L or 1gal

Answers

1 Gallon because 2 liters are equal to about half a gallon. I hope this helped :D

Convert:-

2L = 4.22675 Pint
1 gal = 8 pint

Which is more?

8 pints, which is 1gal.

At what point (x,y) do the two lines with equations x-2y=5 and 3x-5y=8 intersect?

Answers

$\begin{cases} x-2y=5 \ \ /*(-3)\n 3x-5y=8 \end{cases}\n \n\begin{cases} -3x+6y=-15 \n 3x-5y=8 \end{cases}\n + \ -------\n y=-7\n \nx-2y=5 \n \nx-2*(-7)=5 \n \nx+14=5 \ \ |-14\n \nx=5-14 \n \nx=-9 \n \n \begin{cases}x=-9 \n y=-7 \end{cases} \n \n \nAnswer: \ \ this \ is \ the \ point : \ \ (-9,-7)$