Let a = adult
Let c = children
a + c = 295
27.25a + 16.00c = 6126.25
We have two equations in two unknowns.
Take it from here.
ANSWER:
170 children and 125 adults visited the park.
SOLUTION:
Given, the admission fee at a water park is $16.00 for children and $27.25 for adults
On a certain day 295 people entered the park and the admission fees collected totaled $6,126.25.
We need to find how many children and how many adults visited the park.
Let the number of children be x and the number of adults be y
And total fee collected is $6,126,25
Total fee collected for children + total fee collected for adults = $6,126.25
16x + 27.25y = 6126.25 --- eqn (1)
Then, total attended people are 295
x + y = 295 --- eqn (2)
y = 295 – x
Substitute y value in (1)
16x + 27.25(295 – x) = 6126.25
16x - 27.25x + 27.25 × 295 = 6126.25
-11.25x + 8038.75 = 6126.25
11.25x = 8038.75 – 6126.25
11.25x = 1912.50
x = [tex]\frac{1912.50}{11.25}[/tex]
x = 170
Now, put x value in (2)
170 + y = 295
y = 295 – 170
y = 125.
Hence, 170 children and 125 adults visited the park.
