Number of children swam at public pool = $127
Number of adults swam at public pool = $264
Solution:
Given daily price for children = $1.25
Daily price for adults = $2.25
Total price of admission = $752.75
Let x be the number of children and y be the number of adults.
Total number of people used swimming pool = 391
⇒ x + y = 391 – – – – (1)
Total price of admission = $752.75
⇒ 1.25 x + 2.25 y = 752.75 – – – – (2)
Solve the equation (1) and (2):
Multiply equation (1) by 2 and
(1) × 2 ⇒ 1.25 x + 1.25 y = 488.75
Now, subtract it from equation (2)
⇒ 1.25 x + 2.25 y – (1.25 x + 1.25 y) = 752.75 – 488.75
⇒ 1.25 x + 2.25 y – 1.25 x – 1.25 y = 752.75 – 488.75
Combine like terms together.
⇒ 1.25 x – 1.25 x + 2.25 y – 1.25 y = 752.75 – 488.75
⇒ y = 264
Substitute y = 264 in equation (1)
⇒ x + 264 = 391
⇒ x = 391 – 264
⇒ x = 127
Number of children swam at public pool = $127
Number of adults swam at public pool = $264
