word problem

Question

Stand sells soda for 1.50 each and bags of popcorn for $0.80 each. 34 more sodas were sold than bags of popcorn.  $166.00 was made, how many sodas and how many bags of popcorn were sold?

 

Answer 1

[email protected], [email protected] =$166 

1.50s + .80p = 166

so see relationship between popcorn & soda; 

 

soda = popcorn + 34, since 34 more sodas were sold! This gives equation: p+34 = s

 

now sub p+34=s  into 

1.50s + .80p = 166; simplify and find p first then sub answer to find s.

 

hope this helps!

 

Answer 2

Let S denote number of sodas sold and P number of bags of popcorn. S - P = 34, and 1.5S + 0.8P = 166. Solve the first equation for S: S = 34 + P. Then substitute this into the second equation: 1.5(34 + P) + 0.8P = 166. Simplify and solve: 51 + 1.5P +0.8P = 166; 2.3P = 115; P = 50. Plug this into the first equation: S = 34 + 50 = 84.