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 sells 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 correctly you! : )

Alec sold 26 bags of butter popcorn and 14 bags of caramel popcorn

Step-by-step explanation:

Let

x------> the number of bags of butter popcorn sold

y------> the number of bags of caramel popcorn sold

we know that

-----> equation A

-----> equation B

Solve the system of equations by graphing

see the attached figure

The solution is the point (26.14)

therefore

Alec sold 26 bags of butter popcorn and 14 bags of caramel popcorn

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional