Your answer is P= -8. Hope this helps.
She had both on May 5
swimming lessons every 5th day
5,10,15,20
diving lessons every 3rd day...
3,6,9,12,15
so they both have a common multiple of 15
so fifteen days after May 5 = May 20 <==
Y=250+2x is the amount she spends
y=12x is the amount she makes
If the amount she spent = the amount she makes then she break even
250+2x=12x
250=12x-2x
250=10x
So x = 250/10=25 necklaces she needs to sell to break even
Answer is 25 necklaces