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weekly demand model

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12. The weekly demand model for a new toy is given by:

N = -5p + 80

The weekly supply model for the same toy is:

N = 3p + 40

For the models p is the price of the toy and N is the number of toys sold or supplied. Find the price at which supply and demand are equal.

13. A charity sells tickets for a fundraising dinner. Each adult's ticket costs $10 and each child's ticket costs $5. A total $1050 was raised by selling 130 tickets. How many adults tickets were sold? How many children's tickets were sold?

14. The perimeter of a rectangular room is 120 feet. The sum of four times the width and three times the length is 204 feet. Find the length and the width.