SOLUTION: A grocery store sells two types of maps. The local map cost 50 cents, and the state map costs 75 cents. The store made 35 dollars selling 62 maps. How many local maps did he sell

Algebra ->  Linear-equations -> SOLUTION: A grocery store sells two types of maps. The local map cost 50 cents, and the state map costs 75 cents. The store made 35 dollars selling 62 maps. How many local maps did he sell      Log On


   



Question 615605: A grocery store sells two types of maps. The local map cost 50 cents, and the
state map costs 75 cents. The store made 35 dollars selling 62 maps. How
many local maps did he sell?
A. 12
B. 23
C. 35
D. 46
E. 54

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of local maps sold
Let +b+ = number of state maps sold
given:
(1) +a+%2B+b+=+62+
+50a+%2B+75b+=+3500+ ( in cents )
divided both sides by +25+
(2) +2a+%2B+3b+=+140+
Multiply both sides of (1) and
subtract (1) from (2)
(2) +2a+%2B+3b+=+140+
(1) +-2a+-+2b+=+-124+
+b+=+16+
and, since
(1) +a+%2B+b+=+62+
(1) +a+%2B+16+=+62+
(1) +a+=+62+-+16+
(1) +a+=+46+
They sold
D. 46 local maps
check:
+50%2A46+%2B+75%2A16+=+3500+
+2300+%2B+1200+=+3500+
+3500+=+3500+
OK