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Pete's Pizzeria is a take away pizza shop. On Tuesday, 432 meals were sold with a ratio of 5:4 pasta to pizza. Of the pizzas Margherita, Pepperoni and BBQ, they were sold in a ratio of 4:1:7 respectively. How many BBQ pizzas & pastas were sold?A151B236C318D352ENone of the above

Question

Pete's Pizzeria is a take away pizza shop. On Tuesday, 432 meals were sold with a ratio of 5:4 pasta to pizza. Of the pizzas Margherita, Pepperoni and BBQ, they were sold in a ratio of 4:1:7 respectively. How many BBQ pizzas & pastas were sold?A151B236C318D352ENone of the above

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Solution

First, let's find out how many pizzas and pastas were sold. The ratio of pasta to pizza is 5:4, which means for every 5 pastas sold, 4 pizzas were sold. The total ratio is 5+4 = 9.

So, if 432 meals were sold, then the number of pastas sold is (5/9)*432 = 240 and the number of pizzas sold is (4/9)*432 = 192.

Now, let's find out how many BBQ pizzas were sold. The ratio of Margherita, Pepperoni and BBQ pizzas is 4:1:7. This means for every 12 pizzas sold, 7 were BBQ.

So, the number of BBQ pizzas sold is (7/12)*192 = 112.

Therefore, the total number of BBQ pizzas and pastas sold is 112 + 240 = 352.

So, the answer is D. 352.

This problem has been solved

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