MATH SOLVE

4 months ago

Q:
# One taco supreme and to be Fritos provide 3480 calories. Two taco supremes and one beef burrito provide 3090 calories. Find the the caloric content of each item.

Accepted Solution

A:

Answer: 900 calories in one taco supreme, 1290 calories in one beef burritoX= number of taco supremesY= number of beef burritos1x + 2y = 3480 2x + 1y = 3090Multiply top equation by 2 to make it equal second equation2(x + 2y = 3480) = 2x +4y = 6960Solve using by setting equations equal to each other2x + 4y = 69602x + y = 30902x = 6960 - 4y2x = 3090 - y6960 - 4y = 3090 - y6960 = 3090 +3y3870 = 3y 1290 = y (1290 calories in a beef burrito)Substitute in for number of calories in a taco supreme2x + (1290) = 30902x = 1800x = 900 (900 calories in a taco supreme)You can check by substituting the amounts back in to the original equations to see if they add up1(900) + 2(1290) = 3480 Correct!2(900) +1(1290) = 3090 Correct!