Roman has $40 to spend on snacks for his camping trip. He plans to buy protein bars that cost $3

each and individual bags of trail mix that cost $2 each.
If a represents the number of protein bars that Roman buys and y represents the number of individua bags of trail mix that Roman buys, then which equations represent this situation?
Choose 2.

A. y=-3/2x+20
B. 2x+3y=40
C. y=-2/3x+40/3
D. y=-2/3x+20
E. 3x+2y=40
F. y=3/2x+20

1 answer

The price of each protein bar is $3 and the price of each trail mix bag is $2.

If Roman buys a number of protein bars represented by x and a number of trail mix bags represented by y, then the total cost of protein bars will be 3x and the total cost of trail mix bags will be 2y.

Since Roman has $40 to spend, the equation representing the total cost is:
3x + 2y = 40.

Therefore, the equation 3x + 2y = 40 represents the situation.

The equation y = -3/2x + 20 does not represent the situation because it does not take into consideration the fact that the total cost is $40.

The equation 2x + 3y = 40 also does not represent the situation because it does not correctly account for the prices of the protein bars and trail mix bags.

Therefore, the correct equations that represent the situation are:

B. 3x + 2y = 40
E. y = -2/3x + 20
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