Answer:
The number of adults tickets and student tickets purchased is 5 and 3.
Given that,
Tickets to a movie cost $7.25 for adults and $5.50 for students.
A group of friends purchased 8 tickets for $52.75.
Here we assume the no of adult tickets and no of student tickets be x and y.
Based on the above information, the calculation is as follows:
7.25x + 5.50y = 52.75 .............(i)
x + y = 8
x = 8 - y..................(2)
Now put the x value in the equation (1)
So,
7.25(8-y) + 5.50y = 52.75
7.25 × 8 - 7.25y + 5.50y = 52.75
58 - 1.75y = 52.75
5.25 = 1.75y
y = 3
So,
x = 8 - 3
= 5
Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.
-Hope this helps<3
4500 = 4.5 * 10^3
57 = 5.7 * 10^1
730 = 7.3 * 10^2
0.007 = 7 * 10^-3
300.25 = 3.0025 * 10^2
56,325.2 = 5.63252 * 10^4
.5 is basically 1/2. We know this because .5 written as a fraction is 50/100 which you can simplify to 1/2.
6/10 is greater than 1/2. You can find this out by converting 1/2 to tenths. Multiply the numerator and the denominator by 5 to get 5/10. From there you can easily see that 6/10 > 5/10.
As for the number line simply use 10ths: 1/10, 2/10, 3/10 ... and input 6/10 and 5/10 in the appropriate areas.
The larger number is 17
<em><u>Solution:</u></em>
Let "x" be the larger number
Let "y" be the smaller number
<em><u>The difference between of two numbers is 9</u></em>
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
<em><u>The large number is one more than twice the smaller number</u></em>
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
<em><u>Substitute y = 8 in eqn 1</u></em>
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
