Mrs Wong baked some pizzas for her students. The boy received twice as many pizzas as the girls. There were as many girls as boys in the class. Each girl ate 4/9 of a pizza and they finished all pizzas that were given to them. Each bot ate 3/4 of a pizza and they had 3 3/4 pizzas left.

A) how many girls were there?
B) how many pizzas did mrs wong bake?

Let n = number of boys or girls

Let p = received pizza by girls
Let 2p = received pizza by boys

Each girl ate 4/9 of a pizza and they finished all pizzas that were given to them:
4/9 * n = p

Each boy ate 3/4 of a pizza and they had 3 3/4 pizzas left:
3/4 * n = 2p - 3 3/4

Substituting the first equation to the second:
3/4 * n = 2(4/9 * n) - 3 3/4
3/4 * n = 8/9 * n - 15/4
Multiply everything by 36.
27n = 32n - 135
-5n = -135
n = 27 girls or boys

Now solve for p by substituting n = 27 to either equation. Since the second question asks for the total pizza baked, you should solve for p + 2p.

Hope this helps~ :3

Thank you!

To solve this problem, we can break it down into steps:

Step 1: Determine the number of boys and girls.
You know that the boy received twice as many pizzas as the girls, and there were as many girls as boys. Let's assume the number of girls is 'x'. So the number of boys is also 'x'. The boy received twice as many pizzas as the girls, meaning he received 2 times the number of pizzas the girls received.

Step 2: Calculate the total number of pizzas.
Since each girl ate 4/9 of a pizza, and there were 'x' girls, the total pizzas consumed by the girls would be (4/9) * x. Similarly, each boy ate 3/4 of a pizza, and there were 'x' boys, so the total pizzas consumed by the boys would be (3/4) * x.

The total pizzas consumed by the boys and girls together is (4/9) * x + (3/4) * x.

Step 3: Determine the number of pizzas Mrs. Wong baked.
Since the students finished all the pizzas that were given to them and had 3 3/4 pizzas left, the total pizzas she baked would be the pizzas consumed by the students plus the 3 3/4 remaining pizzas.

So, the total number of pizzas Mrs. Wong baked would be (4/9) * x + (3/4) * x + 3 3/4.

Now, let's proceed to calculate the answers:

A) The number of girls:
We need to find the value of 'x'. Since there were as many girls as boys, we can combine the pizzas consumed by the girls and boys and equate it to the number of total pizzas Mrs. Wong baked.

(4/9) * x + (3/4) * x = (4/9) * x + (3/4) * x + 3 3/4.

We can then solve this equation to find the value of 'x', which represents the number of girls.

B) The total number of pizzas Mrs. Wong baked:
Once we have the value of 'x', we can substitute it into the equation (4/9) * x + (3/4) * x + 3 3/4 to find the total number of pizzas Mrs. Wong baked.