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Sagot :
Answer:
c = 5.5
Step-by-step explanation:
2 a + 5 c = 46.50
a + c = 15
a = 15 - c
2(15-c ) +5c = 46.50
30 - 2c +5c = 46.5
3c = 16.5
c = 5.5
Let a be the adults and c be the children.
For the first equation there are 2 adults and 5 children so the equation is:-
2a + 5c = 46.50
And for the second equation there is 1 adult and 1 child. So the equation is:-
a + c = 15
a = 15 - c
You take this formula and substitute it to the above formula (2a + 5c = 46.50)
➡️ 2a + 5c = 46.50
➡️ 2(15 - c) + 5c = 46.50
➡️ 30 -2c + 5c = 46.50
➡️ 5c - 2c = 46.50 - 30
(You collect like terms)
➡️ 3c = 16.5
➡️ c = 16.5/3
➡️ c = 5.5
For the first equation there are 2 adults and 5 children so the equation is:-
2a + 5c = 46.50
And for the second equation there is 1 adult and 1 child. So the equation is:-
a + c = 15
a = 15 - c
You take this formula and substitute it to the above formula (2a + 5c = 46.50)
➡️ 2a + 5c = 46.50
➡️ 2(15 - c) + 5c = 46.50
➡️ 30 -2c + 5c = 46.50
➡️ 5c - 2c = 46.50 - 30
(You collect like terms)
➡️ 3c = 16.5
➡️ c = 16.5/3
➡️ c = 5.5
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