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The price of an entrance ticket to the pool for a child is 60 shekels and for an adult 50 shekels. group In which the number of adults is 5 times smaller than the number of children, she paid NIS 1050. How many adults and how many children in the group?

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Answer to a math question The price of an entrance ticket to the pool for a child is 60 shekels and for an adult 50 shekels. group In which the number of adults is 5 times smaller than the number of children, she paid NIS 1050. How many adults and how many children in the group?

Expert avatar
Maude
4.7
107 Answers
x = \text{number of children}

y = \text{number of adults}

60x + 50y = 1050

Since the number of adults is five times less than the number of children:

y = \frac{x}{5}

Substitute \( y \) in the original equation:

60x + 50\left(\frac{x}{5}\right) = 1050

60x + 10x = 1050

70x = 1050

x = 15

Now find \( y \):

y = \frac{15}{5}

y = 3

Final counts:

n_a = 3 \text{ (adults)}

n_y = 15 \text{ (children)}

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