One pan pizza and two beef burritos provide 2800 calories. Two pan pizzas and one beef burrito provide 3260 calories. Find the caloric content of each item.

Answer 1

🍕+ 🌯 + 🌯 = 2800

🍕 + 🍕+ 🌯 = 3260

Let us add them all together

🍕 + 🍕+ 🍕+ 🌯 + 🌯 + 🌯 = 6060

Let us divide both sides by 3

🍕+ 🌯 = 2020

Compare this to 🍕+ 🌯 + 🌯 = 2800 = 2020 + 780,

therefore 🌯 = 780 calories

On other hand 🍕 + 🍕+ 🌯 = 3260 = 2020 + 1240,

therefore 🍕 = 1240 calories

Answer 2

Hey!

So we want to know how many calories each item is! Note that we have two separate items we want to know about - pan pizzas and beef burritos. Since we don't know how many calories each one individually is, let's give them each their own variable like so:

x = calories of pan pizza

y = beef burrito.

Next, we know two different statements that give us two different totals! We can use our variables to set up a system of equations like such:

x + 2y = 2800

2x + y = 3260.

You can then use either substitution (arguably the easiest method here) or elimination to solve for one variable first, and then the other! Let me know if you have questions.