Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

The answer is below

Step-by-step explanation:

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.

The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:

M = (3/2)S

The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore

L = (5/2)S

the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:

L = M + S

(5/2)S = (3/2)S + S

5S = 5S

The equation cannot be solved.

But if he wants the amount of dough for a large pizza to be 5/2 kg.

L = M + S

(5/2) = (3/2)S + S

S = 1 kg