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107.A movie theater charges 10 for each adult and 8 for each child. The total amount in ticket earnin one evening was 2360 and there were 56 more adults than children Use mathematical language to represent the situation.

Pergunta

107.A movie theater charges 10 for each adult and 8 for each child. The total amount in ticket earnin
one evening was 2360
and there were 56 more adults than children Use mathematical language to
represent the situation.

107.A movie theater charges 10 for each adult and 8 for each child. The total amount in ticket earnin one evening was 2360 and there were 56 more adults than children Use mathematical language to represent the situation.

Solução

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FelipeMestre · Tutor por 5 anos

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To represent the situation using mathematical language, we can let $x$ represent the number of children and $y$ represent the number of adults.<br /><br />Given that the total amount in ticket earnings is $2360, we can write the equation:<br /><br />$10y + 8x = 2360$<br /><br />Additionally, we are given that there are 56 more adults than children, which can be represented as:<br /><br />$y = x + 56$<br /><br />Now we have a system of two equations with two variables:<br /><br />$10y + 8x = 2360$<br />$y = x + 56$<br /><br />We can solve this system of equations to find the values of $x$ and $y$.
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