book Maths Puzzle Numerical Ability

I am confused with this problem A woman bought some large frames for $15 each and some small frmaes for $8 each at a closeout sale. If she bought 22 frames for $239, find how many

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Does a negative / a negative = a positive? Please help me rationalize the expression 2sqrt3+sqrt2/sqrt3-sqrt2 so there are no radicals in the denominator. I came up with 4-sqrt6
Thanks a lot