Question

Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost of the large popcorn and the small drink?
A.The large popcorn cost $4 and the small drink cost $3

B.The large popcorn cost $2 and the small drink cost $4

C.The large popcorn cost $5 and the small drink cost $3

D.The large popcorn cost $3 and the small drink cost $2

Answer 1

Make two equations first
L = large popcorn, S = small drinks
2L + 4S = 20
2L + 2S = 14
Use elimination and subtract
2S = 6, S = 3
You know small drinks are $3 each
Plug that into any equation
2L + 4(3) = 20
2L + 12 = 20, 2L = 8, L = 4
Large popcorns cost $4 each

The solution is A