Question

Travis and Beth went to the corner mini-mart. Travis bought 6 candy bars and 2 sodas for $4.88. Beth bought 2 candy bars and 3 sodas for $3.47. All candy bars cost the same and all sodas are the same price. Determine the price of a candy bar and the price of a soda.

Answer 1

Answer:

Hence candy = $0.55 and soda= $0.48

Step-by-step explanation:

Given data

Travis bought 6 candy bars and 2 sodas for $4.88

6x+2y= 4.88------------1

Beth bought 2 candy bars and 3 sodas for $3.47

2x+3y= 3.47----------2

solve 1 and 2

6x+2y= 4.88------------1x 3

2x+3y= 3.47----------2 X 2

 18x+6y=14.64

- 4x+6y= 6.94

14x=7.7

divide both sides by 14

x= 7.7/14

x=$0.55

put x= 0.55 in 1

6(0.55)+2y= 4.88------------1

3.3+2y= 4.88

3.3y= 4.88-3.3

3.3y=1.58

y=1.58/3.3

y=$0.48