820c+380r=4,360 The above equation models the amount of calories in a snack of c cups of cashews and r cups of raisins. The amount of calories per cup of cashews is 820 and the amount of calories per cup of raisins is 380. According to the equation, how many cups of raisins are used, if 3 cups of cashews are used to make the snack?
Correct answer: C. 5
- A. 3
- B. 4
- C. 5
- D. 6
Explanation
Given the equation 820c+380r=4360, when c=3, substituting into the equation gives: 820(3) + 380r = 4360, 2460 + 380r = 4360, 380r = 1900, r = 5. Therefore, the correct number of cups of raisins used is 5. Options A, B, and D are incorrect because they do not satisfy the equation when substituted.
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