Math help with algebra. Thanks?

2016-06-22 6:29 pm
one shake and two beef burritos provide 3760 calories. Two shakes and one beef burrito provide 3470 calories. What is the caloric content of each item?

Shake:
Burrito:

回答 (2)

2016-06-22 6:36 pm
✔ 最佳答案
Let x calories and y calories be the caloric content of shake and burrito respectively.

x + 2y = 3760 ...... [1]
2x + y = 3470 ...... [2]

[1] + [2] :
3x + 3y = 7230
x + y = 2410 ...... [3]

[1] - [3] :
y = 1350

[2] - [3] :
x = 1060

Caloric content of each item :
Shake : 1060 calories
Burrito : 1350 calories
2016-06-22 6:32 pm
s + 2b = 3760
2s + b = 3470 → b = 3470-2s

s + 2(3470-2s) = 3760
-3s = 3760 - 6940 = -3180

shake = 3180/3 = 1060 calories
burrito = 3470-2120 = 1350 calories


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