The integer is a whole number as opposed to a fraction such as 3, 6, 8, 15, 1284. Integral means consisting of a whole number or an undivided quantity. The term integral may also refer to the notion of antiderivative, a function F whose derivative is the given function f. The set of integers can be denoted by Z.
2 times 3.50 times is the amount spent on salmon. 5 times is the amount spent on trout and the total amount spent is 77.
Which will be more convenient to represent as:
Since the weights in this problem must be positive integers, the smallest possible value for either or would be 1.
Clearly, if , then , and we have one possible answer.
We know that because is not evenly divisible by 5.
Note that for to have an integer solution, where . But our previous work bounds the possible values for between 1 and 14, so the only two possible values are 7 and 14.
Hence, 12 lbs salmon and 7 lbs trout, or 2 lbs salmon and 14 lbs trout.
Answers & Comments
Answer:
The integer is a whole number as opposed to a fraction such as 3, 6, 8, 15, 1284. Integral means consisting of a whole number or an undivided quantity. The term integral may also refer to the notion of antiderivative, a function F whose derivative is the given function f. The set of integers can be denoted by Z.
Answer:
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Step-by-step explanation:
2 times 3.50 times is the amount spent on salmon. 5 times is the amount spent on trout and the total amount spent is 77.
Which will be more convenient to represent as:
Since the weights in this problem must be positive integers, the smallest possible value for either or would be 1.
Clearly, if , then , and we have one possible answer.
We know that because is not evenly divisible by 5.
Note that for to have an integer solution, where . But our previous work bounds the possible values for between 1 and 14, so the only two possible values are 7 and 14.
Hence, 12 lbs salmon and 7 lbs trout, or 2 lbs salmon and 14 lbs trout.