Respuesta :
The number of large pizza is 34 and the number of small pizza is 29.
How to find the number of small and large pizza in the problem given ?
It is given that a total of 63 pizzas were sold.
Also, the money collected was $989.
Moreover, large pizzas are sold for $18 and small pizzas are sold for $13.
Let the number of large pizzas be x and the number of smaller pizzas be y.
From the problem statement , x + y = 63.
The total cost for large pizza is $18x and the total cost for small pizza is $13y . Now this sum is the total money collected.
∴ 18x + 13y = 989.
We have two equations ,
x + y = 63 and 18x + 13y = 989.
Substituting the value of x from first and putting it to second,
⇒ 1134 - 18y + 13y = 989.
⇒ -5y = -145
∴ y = 29 .
Putting value of y in the first equation, we have x = 34.
Therefore the number of large pizza is 34 and the number of small pizza is 29.
To learn more about statement problem equation, refer -
https://brainly.com/question/16061591
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