Can someone please explain how to do this? I don’t need the answer I just don’t know how to solve it.

Question

asked Aug 9, 2023 196k views

1 Answer

Zero · Answer 1 · 2023-08-15T02:52:27+0000

Let
be the number of plain cakes sold, and
the number of decorated cakes sold.

Each plain cake sells for $7, so
cakes sells for
$\$7P$ .

Similarly, each decorated cakes goes for $11, so
cakes are worth
$\$11D$ .

The baker sells all but 3 cakes, so

P + D = 117

After the sale, the baker earns a total of $991, so

7P + 11D = 991

Now just solve the system of equations for
and
. This is easily done by substitution or elimination.

(The selected answer is actually the correct one.)