SOLUTION: A baker is making pastries to sell at a fair. A small pastry costs $1.50 to prepare. A large pastry costs $2.50 to prepare. The baker will make 200 pastries. Usually, about thr

Algebra ->  Expressions-with-variables -> SOLUTION: A baker is making pastries to sell at a fair. A small pastry costs $1.50 to prepare. A large pastry costs $2.50 to prepare. The baker will make 200 pastries. Usually, about thr      Log On


   

Question 181216This question is from textbook saxon algebra 2
: A baker is making pastries to sell at a fair. A small pastry costs $1.50 to prepare. A large pastry costs $2.50 to prepare. The baker will make 200 pastries. Usually, about three times as many people buy small pastries than large pastries. How can the baker keep costs to a minimum while still making sure people have the pastries they want?
Surely someone out there knows how to do this! This question is from textbook saxon algebra 2

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
well, if he is going to live up to what people want then he is going to have to make 3 times as many small pastries. 200 pastries is also a given.
:
let S and L be the number of small and large pastries made, respectively
:
S+L=200...........eq 1
S=3L..............eq 2
:
take S's value of 3L from eq 2 and plug it into eq 1
:
3L+L=200
:
4L=200
:
highlight%28L=50%29number of Large pastries
:
S=3L=3%2850%29=highlight%28150%29number of small pastries