Question

The boy scouts are selling two types of popcorn as part of a fundraiser, butter and caramel. Butter popcorn sells for $5 per bag and caramel popcorn selld for $6.50 per bag. So far, Alec has sold 40 total bags and raised $221, FInd the number of bags he has sold for each type of popcorn

Answer 1

Answer:

26 bags of butter popcorn and 14 bags of Carmel popcorn was sold

Step-by-step explanation:

Butter popcorn = x

Carmel popcorn = y

x + y = 40

5x + 6.50y = 221

I used substitution.

y = -x + 40

5x + 6.50y = 221

5x + 6.50(-x + 40) = 221

5x -6.50x + 260 = 221

-1.50x + 260 = 221

-1.50x = -39

x = 26

Meaning 26 bags of butter popcorn was sold

y = -(26) + 40

y = -26 + 40

y = 14

Meaning 14 bags of Carmel popcorn was sold