Answer:
Step-by-step explanation:
Let us represent:
Number of children = x = 59
Number of Adults = y = 166
On a certain hot summer's day, 225 people used the public swimming pool.
x + y = 225
x = 225 - y
The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $435.25.
$1.75 × x + $2.00 × y = $435.25
1.75x + 2y = 435.25
We substitute 225 - y for x
Hence:
1.75(225 - y ) + 2y = 435.25
393.75 - 1.75y + 2y = 435.25
Collect like terms
-1.75y + 2y = 435.25 - 393.75
0.25y = 41.5
y = 41.5/0.25
y = 166 Adults
Note that:
x = 225 - y
x = 225 - 166
x = 59 children
Hence, the number of children is 59 and the number of Adults is 166
Answer:
(20,-4)
Step-by-step explanation:
We are given;
One end point as (2,5)
Point of division as (10,1)
The ratio of division as 4:5
We are required to calculate the other endpoint.
Assuming the other endpoint is (x,y)
Using the ratio theorem
If the unknown endpoint is the last point on the line segment;
Then;
=
+![\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Therefore; solving the equation;

solving for x
x = 20
Also

solving for y
y= -4
Therefore,
the coordinates of the end point are (20,-4)