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tangare [24]
3 years ago
7

Help me ill give 100 pts

Mathematics
2 answers:
hjlf3 years ago
5 0

Answer:

Small Pizza = 1 . Large Pizza = 5.

Step-by-step explanation:

5 x 4 = 20 then just add 3 and you'll find how much both pizzas can feed the team. Hope this helps

solong [7]3 years ago
4 0

Answer:

Small pizza is for 1 person, Large pizza is for 5 people

<u>Skills needed: System of Equations</u>

Step-by-step explanation:

1) First, let's make two variables:

--> l = how many people a large pizza can feed

--> s = how many people a small pizza can feed

2) We need to use a system of equations to solve this --> A system is 2 or more equations with specific solutions for the variables involved.

Example:

y=x+5

y+x=10

-----------------

We can solve with elimination:

y-x=5 \\ y+x=10

(Rewriting the first equation to look like the second one)

---> Then we add both:

y-x=5 \\ y+x=10 \\ 2y=15 \\ y= 7.5

When we add both equations, we eliminate the variable x, solving for y easily. After this, we can solve for

---> y+x=10 \\ 7.5+x=10 \\ x=2.5

--------------------------------------------------------------------------------------------------------------

This is the elimination method of a system (Note: we can also subtract equations if needed)

3) Let's make a system for this problem:

3s+2l=13 ---> 3 small pizzas (multiplied by the number of people it can feed) + 2 large pizzas (multiplied by the number of people it can feed) is for 13 people.

3s+4l=23 ---> 3 small pizzas (multiplied by the number of people it can feed) + 4 large pizzas (multiplied by the number of people it can feed) is for 23 people.

4) We have two equations:

3s+2l=13 \\ 3s+4l=23

We can eliminate s by subtracting both equations.

---> 3s+2l=13 \\ 3s+4l=23 \\ -2l=-10 \\ l=5

We subtracted 3s from 3s which is just 0 (so it does not have to be shown)

We subtracted 4l from 2l which is just -2l

On the right side: 23 subtracted from 13 which is just -10

----> -2l=-10, divide by -2, -10 \div -2 = 5

l=5, which means a large pizza is for 5 people.

3s+2l=13 \\ 3s+2(5)=13 \\ 3s+10=13 \\ 3s=3 \\ s=1

Substituting l into the first equation (it does not matter which one you substitute into) will get s=1

Small pizza is for 1 person.

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