Ben was in charge of ordering 32. pizzas for the office party. He ordered three types of​ pizza: cheese,​ pepperoni, and supreme. The cheese pizzas cost $ 8 each, the pepperoni pizzas cost $ 10 ​each,...

Ben was in charge of ordering 32. pizzas for the office party. He ordered three types of​ pizza: cheese,​ pepperoni, and supreme. The cheese pizzas cost $ 8 each, the pepperoni pizzas cost $ 10 ​each, and the supreme pizzas cost $ 12 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $ 312 on​ pizza, how many pizzas of each type did he​ buy?

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