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When Q is divided by W, the quotient is R and the remainder

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Director
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When Q is divided by W, the quotient is R and the remainder [#permalink] New post 13 Jun 2018, 23:24
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When Q is divided by W, the quotient is R and the remainder is E. Which of the following expressions is equal to E?

A. RW + Q
B. RW - Q
C. Q - RW
D. QW - R
E. Q/RW
[Reveal] Spoiler: OA
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Re: When Q is divided by W, the quotient is R and the remainder [#permalink] New post 23 Jun 2018, 08:48
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amorphous wrote:
When Q is divided by W, the quotient is R and the remainder is E. Which of the following expressions is equal to E?

A. RW + Q
B. RW - Q
C. Q - RW
D. QW - R
E. Q/RW



Here
We can re-write as

Q/W = R + E/W
or Q=R∗W+E

or E=Q−R∗W
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Re: When Q is divided by W, the quotient is R and the remainder [#permalink] New post 25 Jun 2018, 08:11
Q/W = R + E/W

So, E=Q−R∗W
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Re: When Q is divided by W, the quotient is R and the remainder [#permalink] New post 26 Mar 2020, 09:18
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Expert's post
amorphous wrote:
When Q is divided by W, the quotient is R and the remainder is E. Which of the following expressions is equal to E?

A. RW + Q
B. RW - Q
C. Q - RW
D. QW - R
E. Q/RW


-----ASIDE-----------------------
There's a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R"
For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2
Likewise, since 53 divided by 10 equals 5 with remainder 3, then we can write 53 = (10)(5) + 3
-------------------------------------

GIVEN: When Q is divided by W, the quotient is R and the remainder is E.
So, we can write: Q = WR + E

Which of the following expressions is equal to E?
Take: Q = WR + E
Subtract WR from both sides to get: Q - WR = E

Answer: C

Cheers,
Brent
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Re: When Q is divided by W, the quotient is R and the remainder   [#permalink] 26 Mar 2020, 09:18
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When Q is divided by W, the quotient is R and the remainder

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