Question 566545
This can be solved with 1 variable as well!
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The equation
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1.5x + 2.00(75 - x) = 127.5
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We let x represent the number of sons tickets. We know that that the number of father tickets must be (75 - x). We know that the sons tickets are $1.50 each and the fathers tickets are $2.00 each. So we arrange our equation accordingly.
1.5x + 2.00(75 - x) = 127.5.
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Using the distributive property we get: 1.5x + 150 - 2x = 127.5

Combining like terms gives us: -.5x=-22.5

Dividing both sides by -.5 gives us: x = 45

45 of sons tickets were sold, to find the amount of fathers we simply subtract 45 from 75 which gives us 30, the amount of fathers tickets sold.