Since a small drink is the cheapest, make the cost of a small drink=x. Since a large drink costs 50 cents more than a small drink, let a large drink=x+50. The total of the drinks is the sum of the individuals. Since the cost of a small drink is x, 3 drinks cost 3x. Since the cost of a large drink is x+50, the cost of 2 drinks is 2(x+50). The cost of all of the drinks together is 3x+2(x+50). Distribute the 2. 3x+2x+100. Combine like terms. 5x+100. This will give you your answer in cents. If you need an answer in dollars, you multiply that expression by 0.01.
