Question

Use a system of equations to solve this problem.

Answer 1

X = amount of seeds.

y = amount of dried fruits.

we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.

how much is it for "x" ounces if each one costs $1.5?  well is just 1.5*x or 1.5x.

how much is it for "y" ounces if each one costs $2.5?  well is just 2.5*x or 2.5x.

the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz?  well, is just 10 * 2.2, or $22.

since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.

$\bf \begin{cases} x+y=10\implies \boxed{y}=10-x\\ 1.5x+2.5y=22\\ -------------\\ 1.5x+2.5\left( \boxed{10-x} \right)=22 \end{cases} \\\\\\ 1.5x+25-2.5x=22\implies -x+25=22\implies 3=x$

how many ounces of dried fruit is there anyway?  well, y = 10 - x.