Question

DOES ANYONE UNDERSTAND????

A store is having a sale on trail mix and jelly beans. For 2 pounds of trail mix and 5 pounds of jelly beans, the total cost is $10 . For 8 pounds of trail mix and 3 pounds of jelly beans, the total cost is $23 . Find the cost for each pound of trail mix and each pound of jelly beans.

Answer 1

let cost of each pound of trail mix be x any y respectively

For 2 pounds of trail mix and 5 pounds of jelly beans, the total cost is $10

2x +5y = 10.....(1)

For 8 pounds of trail mix and 3 pounds of jelly beans, the total cost is $23

8x +3y = 23.....(2)

2x +5y= 10 ....... × 4

8x +20y = 40.....(3)

8x +3y = 23 ( from (2))

(3) - (2)

17y = 17

y= 1

8x +3y = 23

8x +3 = 23

8x= 20

x= 2.5

Cost for each pound of trail mix= $2.5

Cost for each pound of jelly beans= $1