<u><em>Answer:
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<u><em>More unknown than equations, the answer cannot be determined
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<u><em>Step-by-step explanation:
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<u><em>We can solve by means of a 2x2 system of equations, we have to:
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<u><em>"x" is the number of children's tickets
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<u><em>"y" is the number of adult tickets
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<u><em>
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<u><em>Thus:
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<u><em> blank * x + 8.75 * y = 259
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<u><em>
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<u><em> x + y = 35
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<u><em>which means that the number of children in the group cannot be calculated with the supplied data, this is because we have 3 unknowns and there are 2 equations, which means that the system has no solution.
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<u><em>
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<u><em>If we assume a value, for example, $ 5
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<u><em>
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<u><em>We can solve:
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<u><em>5 * x + 8.75 * y = 259
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<u><em>
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<u><em> x + y = 35 => x = 35 - y
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<u><em>
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<u><em>replacing we have:
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<u><em>5 * (35 - y) + 8.75 * y = 259
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<u><em>
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<u><em>175 - 5 * y + 8.75 * y = 259
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<u><em>
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<u><em> - 5 * y + 8.75 * y = 259 - 175
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<u><em>
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<u><em>3.75 * y = 84
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<u><em>
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<u><em>y = -84 / 3.75
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<u><em>
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<u><em>y = 22.4
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<u><em>
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<u><em>Thus:
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<u><em>
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<u><em>x = 35 - (22.4) = 12.6
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<u><em>
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<u><em>there being then 22 adults and 13 children.
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<u><em>
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<u><em></em></u>
