Answer:
$110
Step-by-step explanation:
Let's assume that the cost per adult is $x and that of the children is $y
10 adults and 5 children can watch a movie for $125
And 8 adults and 10 children can watch the same movie for $130
The above will lead us to the equation 1 and 2
10x + 5y = 125____ equation 1
8x + 10y = 130_____ equation 2
Make x the subject of the formula in equ 1
X =( 125 - 5y)/10
Replace in equation 2
8(125-5y)/10) +10y = 130
100 + 6y = 130
6y = 30
Y = 5
Substitute y = 5 in equation 1
10x + 5y = 125
10x = 100
X = 10
Therefore, the cost for adults is $10 per person while that of children is $5
For 6 adults and 10 kids,it will be
(10 × 6) + (5 × 10) = $110
It should be noted that the cost for 6 adults and 10 children to watch the movie will be $110.
Based on the information given, the equation to solve the question will be:
Multiply equation i by 10
Multiply equation ii by 5
100a + 50c = 1250
40a + 50c = 650
60a = 600
a = 600/60 = 10
Since 10a + 5c = 125
10(10) + 5c = 125
5c = 125 - 100
c = 5
Therefore, the cost for 6 adults and 10 children to watch the movie will be:
= 6a + 10c
= 6(10) + 10(5)
= 60 + 50
= 110
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