Aclown is preparing for a party by inflating one balloon for every invited guest. just when she has half of the necessary balloons inflated, 3 of them pop. she inflates 5 more balloons, and two pop. then 6 balloons are carried away by the wind. she finishes by inflating 16 more balloons, and then learns that only 12 guests will attend the party. how many extra balloons did the clown inflate?

The students at jefferson middle school are raising money for a charity by selling t-shirts and hats. the number of t-shirts sold was 3 times the number of hats. the profit was $5 for each t-shirt sold and $2.50 for each hat sold. the students raised $840 for the charity. they used the system below to analyze their success and found the solution to be (144, 48). 5x+2.50y=840 x=3y how much did they earn from t-shirt sales?