1 Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children are in this group?

Given:

Admission to the local movie theater is $3 for each child and $7 for each adult.

A group of 12 people pay $64 admission.

To find:

The number of children in a group.

Solution:

Let the number of children be x and number of adults be y.

According to the question,

Total persons :          ...(i)

Total cost :     ...(ii)

Multiply equation (i) by 7 and subtract the result from (ii).

Divide both sides by -4.

Therefore, the number of children is 5.

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step-by-step explanation: