Question

WILL GIVE BRAINEST TO CORRECT ANSWER (50 points)

Answer 1

Answer:

children's: 111 and adults: 62

Explanation:

• given total number of people 173
• total amount received is $306
• during the process, we shall consider x as children and y as adult

make equations:

x + y → 173    [ this was from total people ]

1.5x + 2.25y → $306   [ this was from cost ]

try to make x the subject:

x + y → 173

x → 173 - y ______equation 1

1.5x + 2.25y → $306

1.5x → 306 - 2.25y

x → $\frac{ 306 - 2.25y }{1.5}$ __________equation 2

solve them simultaneously:

$\frac{ 306 - 2.25y }{1.5}$ = 173 - y

306 - 2.25y = 259.5 - 1.5y

-2.25 + 1.5y = 259.5 - 306

-0.75y = -46.5

y = 62

so there were total 62 adults that day in the public swimming pool.

find children's using:

x → 173 - y

x → 173 - 62

x → 111

so there were total 111 children's  that day in the public swimming pool.