1. Let
be the number of small balloons and
the number of large balloons. We know that cost of a small balloon is $3, so the cost of
small balloons is
; similarly, we know that the cost of a large balloon is $5, so the cost of
small balloons is
. Now to find the total cost
of
small balloons and
large balloons, we just need to add their individual cost together:
We can conclude that an algebraic expression for the cost of x small balloons and y large balloons is
2. To find the the total cost for 11 small balloons and 6 large balloons, we just need to replace
with 11 and
with 6 in our algebraic expression and simplify:
We can conclude that the total cost of 11 small balloons and 6 large balloons is $63