Question

one pan pizza and two beef burritos provide 3570 calories. Two pan pizzas and one beef burrito provide 3450 calories. Find the caloric content of each item.

Answer 1

Answer:

The calories content of the pan pizza is 1110 calories and the one beef burritos calories content be 1230 calories .

Step-by-step explanation:

Let us assume that the one pan pizza calories content be x.

Let us assume that the one beef burritos calories content be y.

As given

one pan pizza and two beef burritos provide 3570 calories.

Than the equation becomes

x + 2y = 3570

Two pan pizzas and one beef burrito provide 3450 calories.

2x + y = 3450

Than the two equations are

x + 2y = 3570 and 2x + y = 3450

Multiply x + 2y = 3570 by 2 and subtracted from 2x + y = 3450 .

2x - 2x + y - 4y = 3450 - 7140

-3y = - 3690

$y = \frac{3690}{3}$

y = 1230 calories

Put value of y in the equation x + 2y = 3570.

x + 2 × 1230 = 3570

x + 2460 = 3570

x = 3570 - 2460

x = 1110 calories

Therefore the calories content of the pan pizza is 1110 calories and the one beef burritos calories content be 1230 calories .