a number divided by 80 has a quotient of 7 with 4 as a remainder. Find the number!!!! I hope someone will come up with an answer soon!!!

Respuesta :

For this case we have the following equation:

[tex] x = q * d + r
[/tex]

x: unknown number

q: quotient

r: rest of the division

d: divisor of the division

Substituting values in the given equation we have:

[tex] x = 7 * 80 + 4
[/tex]

Rewriting we have:

[tex] x = 560 + 4

x = 564
[/tex]

Answer:

The number is:

[tex] x = 564 [/tex]

The correct answer is:

564.

Explanation:

Let n be the number we are dividing. We are dividing this number by 80; we can write this expression as n/80.

Our answer is 7 with a remainder of 4. Since we are dividing by 80, we can write the remainder 4 as a fraction over 80; this gives us the quotient 7 4/80.

We will convert this to an improper fraction to find the value of n. Multiply the whole number by the denominator: 7(80) = 560. Now add the numerator: 560+4 = 564. n = 564.

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