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The number of popcorns sold is 88.

Two simultaneous equations

Two equations can be derived from the question:

a + b = 172 equation 1

1.10a + 2.35b = $294.20 equation 2

Where:

a = number of popcorns sold

b = number of nachos sold

How to determine the number of popcorns sold

In order to determine the number of popcorns sold, take the following steps:

Multiply equation 1 by 2.35

2.35a + 2.35b = 404.20 equation 3

Subtract equation 2 from 3

110 = 1.25a

Divide both sides by 1.25

a = 88

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552