Along with the flowers, Maggie bought 4 packages of balloons and 2 packages of plant food. The packages of balloons cost $3.59 each and the total sales tax was $1.34. The total amount she paid was $32.09, including sales tax. Explain a strategy she could use to find the cost of 1 package of plant food.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?