Roman has $40 to spend on snacks for his camping trip. He plans to buy protein bars that cost three dollars each and individual bags of trail mix that cost two dollars each if X represents the number of protein bars that Roman bars and y represents the number of individual bags of trail mix that Roman bars which equation represents the situation.
The equation that represents the situation is 3x + 2y = 40.
The equation that represents the situation is: 3x + 2y = 40.
To represent the situation, we can use the equation:
3X + 2Y = 40
In this equation, X represents the number of protein bars purchased and Y represents the number of individual bags of trail mix purchased. The left side of the equation represents the total cost of the snacks purchased, which is equal to $40.
To explain how we arrived at this equation, we need to consider the costs of the items Roman plans to buy. Each protein bar costs $3, so the total cost of protein bars would be 3X. Similarly, each individual bag of trail mix costs $2, so the total cost of the trail mix would be 2Y.
To find the total amount spent on snacks, we add the cost of the protein bars (3X) and the cost of the trail mix (2Y), and set it equal to $40. Hence, the equation is 3X + 2Y = 40.