At a store, six bottles of juice and two bags of nuts cost $11.50. Three bottles of juice and four bags of nuts cost $11.75. What is the cost of a single bottle of juice? Write your answer in dollars ($) and cents.

One bottle of juice costs $1.25

Step-by-step explanation:

Create equations for both scenarios:

variable j=bottle of juice variable n=nuts

equation 1: 6j+2n=11.5

equation 2: 3j+4n=11.75

Multiply equation 1 by 2 so that 2n becomes 4n in order to stack the equations:

Subtract the new equation by the second equation

12j+4n=23

3j+4n=11.75

Your N's are eliminated so you are only left with the variable J in which 9j=11.25

divide by 9

j = $1.25