MTS

@sadyms - Just an FYI but it is impossible to make a quilt top measuring 108"x108" from only 24 FQ's (6 yards of fabric without even starting to account for any seam allowances). Perhaps they were half yard cuts?

QST blocks require more fabric than HST blocks - there's that extra seam.

For each HST triangle block the starting squares need to be 7/8" larger than the desired FINISHED block.
Again, that's perfect cutting, sewing, and pressing.

For either block, though, each starting square will render a finished block - in the mzzz's case, a QST or plain block.
And her design doesn't require the smaller squares. She will still have fabric left over.

Both quilts are getting 12 starting squares from each FQ, with some left over.

@mzzzquilt - Here's a diagram of how the FQ would be cut for the pattern you're making - the six larger squares are the 5.5" starting squares for the QST blocks (includes a bit of wiggle room), and the six smaller squares are the 4.5" UNFINISHED plain alternate squares. The black represents the remaining fabric.