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MariettaO [177]
3 years ago
5

​One-third of a number is 1 more than ​one-fourth of the same number. What is the number?

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

  12

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

  x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

  x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

  x = 12 . . . . . . . . multiply by 12

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A bank loaned out $8200, part of it at a rate of 7.9% per year and the rest of it at a rate of 7.4% per year. The total amount o
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The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

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interest on 7.4% loan=7.4%*(8200-x)

interest on 7.4% loan=606.80-0.074x

total interest=0.079x+606.80-0.074x

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Find out more about bank loan interest rate on:brainly.com/question/20796174

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