A vendor at a baseball game sells boxes of popcorn and bags of pretzels. • A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
• Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00.
Each bag of pretzels costs $

Each bag of pretzels costs $1.75

Step-by-step explanation:

Let the cost of 1 box of popcorn be $x

Let the cost of 1 bag of pretzel be $y

A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.

cost of 2 box of popcorn =2*$x = $2x

sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y

2x + y = 6.75    equation A

Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00

cost of 2 box of pretzel =2*$y = $2y

sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y

x + 2y = 6 equation B

x = 6 - 2y

substituting this value of x in equation A

2(6 - 2y) + y = 6.75  

=> 12 - 4y + y = 6.75

=> -3y = 6.75 - 12 = -5.25

=> y = -5.25/-3 = 1.75

Thus,  Each bag of pretzels costs $1.75

You deposit $7000 into a bank account paying 3.11% simple interest per month. You left the money in for 6 months. Find the interest earned and the amount at the end of those 6 months?

Result

The interest is $1306.2 and the amount is $8306.2.