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ser-zykov [4K]
2 years ago
6

A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in tota

l. There were 10 people in the group.
Find the number of adults and kids in the group.



A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids
Mathematics
2 answers:
BartSMP [9]2 years ago
8 0
Answer:
(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)

vodomira [7]2 years ago
4 0
The answer is Letter B.
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