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Juan's taco hut sells tacos, burritos and enchalladas. yesterday they sold a total of 952 food items. the number of tacos they sold was 12 less than 2 times the number of burritos. the number of enchalladas they sold was half the number of tacos sold. What is the anount of each food item sold?

User Panos
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1 Answer

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Final answer:

To solve this problem, we can set up a system of equations based on the given conditions. However, there appears to be an error or inconsistency in the problem statement. Please double-check the values and conditions given.

Step-by-step explanation:

To solve this problem, let's set up equations for each given condition:

Let t be the number of tacos sold.

Let b be the number of burritos sold.

Let e be the number of enchiladas sold.

From the first condition, we have the equation: t = 2b - 12.

From the second condition, we have the equation: e = t/2.

We also know that the total number of food items sold is 952, so we have the equation: t + b + e = 952.

Now we can solve this system of equations to find the values of t, b, and e.

Substituting the value of t from the first equation into the second equation, we get: e = (2b - 12)/2 = b - 6.

Substituting the values of t and e from the equations above into the third equation, we get: (2b - 12) + b + (b - 6) = 952.

Simplifying this equation, we have: 4b - 18 = 952.

Adding 18 to both sides of the equation, we get: 4b = 970.

Dividing both sides of the equation by 4, we get: b = 242.5.

Since we cannot have a fraction of a burrito, we know that the number of burritos sold must be a whole number. Therefore, we need to find a different solution.

Based on the given information, it seems there may be an error in the problem statement. Please double-check the values and conditions given to see if any corrections need to be made.

User StuXnet
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