Problema Solution
a cold stone creamery ice cream shop sells sundaes for $3.60 and banana splits for $4.25. The shop sells four times as many sundaes as bananas splits. if total sales amounted to $3,370 last weekend, how many banana splits were sold? What were the total dollar sales of sundaes?
Answer provided by our tutors
let
x = the number of sundaes sold, x is non-negative integer
y = the number of banana splits sold, y is non-negative integer
the shop sells four times as many sundaes as bananas splits
x = 4y
total sales amounted to $3,370
3.60*x + 4.25*y = 3370
by solving the system of equations
x = 4y
3.60*x + 4.25*y = 3370
we find
x = 722.788
y = 180.697
the solutions are not integers and this means that is impossible for the total sales to be $3,370.
on the other hand if the total sales was $3,730 (instead of $3,370) we have the system
x = 4y
3.60*x + 4.25*y = 3730
and get the following solutions
x = 800 sundaes
y = 200 banana splits
the total dollar sales of sundaes would be
800*3.60 = $2,880