Mrs. rodrigues was selling two kinds of raffle tickets for $1.50 and $3.50. the number of $1.50 tickets sold was 5 more than three times the number of $3.50 tickets sold. she earned a total of $1,607.50. how many $1.50 tickets were sold?

The number of $1.50 tickets sold is 605

Represent the $1.50 tickets with x, and the $3.50 tickets with y

So, the equations are:

Substitute 3y + 5 for x in the second equation

Open brackets

Collect like terms

Evaluate the like terms

Divide both sides by 8

Recall that:

So, we have:

Hence, the number of $1.50 tickets sold is 605

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x = tickets

1.50(3x+5) +3.50x = 1607.50

4.50x +7.50 +3.50x = 1607.50

8.00x + 7.50 = 1607.50

8.00x = 1600

x = 1600/8 = 200 ( number of 3.50 tickets sold)

200*3 = 600+5 = 605

 there was 605 tickets sold for $1.50