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saw5 [17]
3 years ago
9

it cost $35 for one adult and two children to attend a show. It cost $60 for two adults and three children to attend the same sh

ow. How much does it cost one adult to attend the show?
Mathematics
1 answer:
N76 [4]3 years ago
7 0
Assume that,
adult = x
child = y

x+2y = 35 (1st equation)
2x+3y = 60 (2nd equation)
x = 35-2y (3rd equation)

Substitute 3 into 2 :

2(35-2y) + 3y =60
70-4y +3y = 60
y = 10

x+2y = 35
x+2(10) =35
x +20 =35
x = 15

One adult = $15


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This is a permutation type of question and therefore the number of distinguishable permutations is:

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<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

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