Algebra Problem!!!!........Please HELP!?!!?
one pan pizza and two beef burritos provide 1980 calories.
two pan pizzas and one beef burrito provide 2670 calories.
find the caloric content of each item.
..... if you can do this you're a life saver
please please please help
Comments
Let pan pizza be x calories
beef buritto be y calories
x + 2y = 1980
2x + y = 2670
Multiply equation 2 by 2
4x + 2y = 5340
x + 2y = 1980
SUBTRACT
3x = 5340 - 1980 = 3360
x = 1120 calories
y = 430 calories
ANSWER Pan pizza 1120 calories Burritto 430 calories
lets say pizza is x, and beef burritos is y. You then set up two equations to solve, one for each sentence with information.
x + 2y = 1980
2x + y = 2670
then set one of the equations equal to one variable and use the substitution method to solve.
x = -2y + 1980
2(-2y + 1980) + y = 2670
-4y + 3960 + y = 2670
-3y + 3960 = 2670
-3y = -1290
y = 430
so each beef burrito has 430 calories, and you substitute that value into an original equation to find the pizza.
x + 2(430) = 1980
x + 860 = 1980
x = 1120
so each pan pizza has 1120 calories, and each beef burrito has 430 calories.
Let pan pizza provide 'p' calories and beef burrito provide 'b' calories
therefore 1 p + 2 b = 1980
and 2p + 1 b = 2670
i.e 3p + 3b = 4650
p+b= 1550
p= 1550-b
now 1550 -b +2b= 1980
therefore b = 430
and p = 1120
The calorific value of pizza is 1120 cal while that of beef burritos is 430 calories
p=pan pizza
b=beef burritos
1p+2b=1980
2p+1b=2670
-2p-4b=-3960
2p+1b=2670
-3b=-1290
one beef burrito provide 430 calories
one pan pizza provide 1120 calories
No one used matrices to solve this, ah well