SOLUTION: I have word problem. A medium pizza costs $10.95, a large pizza costs $14.95. On a given day 50 pizzas were sold at a cost of $663.50. How many medium and how many large pizzas

Algebra ->  Linear-equations -> SOLUTION: I have word problem. A medium pizza costs $10.95, a large pizza costs $14.95. On a given day 50 pizzas were sold at a cost of $663.50. How many medium and how many large pizzas       Log On


   



Question 220660: I have word problem.
A medium pizza costs $10.95, a large pizza costs $14.95. On a given day 50 pizzas were sold at a cost of $663.50. How many medium and how many large pizzas were sold.
How do I set this up
thanks.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A medium pizza costs $10.95, a large pizza costs $14.95. On a given day 50 pizzas were sold at a cost of $663.50.
How many medium and how many large pizzas were sold.
How do I set this up
---------------------------------
Quantity Eq::: M + L = 50
Value Eq::::10.95M + 14.95L = 663.50
-----------------------------------------
Multiply thru Value by 100
Multiply thru Quantity by 1495
------------------------------------
Value: 1095M + 1495L = 66350
Quant: 1495M + 1495L = 1495*50
-------------------------
Subtract Value from Quant and solve for "M":
400M = 8400
M = 21 (# of medium sold)
Since M+L = 50, L= 29 (# of large sold)
============================================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = number of medium pizzas sold
Let l = number of large pizzas sold
given:
(1) m+%2B+l+=+50
66350 = cash received for 50 pizzas (in cents)
------------------
1095m = cash from medium pizzas (in cents)
1495l = cash from large pizzas (in cents)
(2) 1095m+%2B+1495l+=+66350
I have 2 equations with 2 unknowns, so it's solvable
Multiply both sides of (1) by 1095 and subtract
from (2)
(2) 1095m+%2B+1495l+=+66350
(1) -1095m+-+1095l+=+-54750
400l+=+11600
l+=+29
and, since
(1) m+%2B+l+=+50
m+%2B+29+=+50
m+=+21
21 medium and 29 large pizzas were sold
check answer:
(2) 1095m+%2B+1495l+=+66350
1095%2A21+%2B+1495%2A29+=+66350
22995+%2B+43355+=+66350
66350+=+66350
OK