Answer:
$24.50
Step-by-step explanation:
Since we know that 3 child tickets are $18.50 each, let's find out the total price of the child tickets.
18.50 x 3 = $55.50
Since we don't know the cost of each of the adult tickets, let's call it x.
Now let's make an equation!
55.50 + 2x = 104.50
Now we have to isolate x in order to find out the price of each adult ticket.
Let's subtract 55.50 on both sides
2x = 49
Now let's divide 2 on both sides.
x = $24.50
So the price of an adult ticket is $24.50
CHECK:
55.50 times 2 (24.50) = 104.50
<wxz + <zxy= <wxy
<wxy= 105
105/2= 52.5
52.5 + 52.5 = 105
105 = 105
m<wxz = 52.5
Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
The radius is 5mm and the diameter is 10mm
