Answer
There are $9$ large frames and $13$ small frames.
Work Step by Step
Let $x$ represent the number of large frames and let $y$ be the number of small frames.
$15x + 8y = 239$ Equation $(1)$
$x + y = 22$
$y = 22 - x$ Equation $(2)$
Substitute $y$ into Equation $(1)$.
$15x + 8(22 - x) = 239$
$15x + 176 - 8x = 239$
$7x = 63$
$x = 9$
Substitute $x$ into Equation $(2)$.
$y = 22-9$
$y = 13$
There are $9$ large frames and $13$ small frames.
