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When x is divided by 4, the quotient is y and the remainder is 1.

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Senior Manager
Joined: 21 Oct 2013
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When x is divided by 4, the quotient is y and the remainder is 1.  [#permalink]

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29 Aug 2014, 13:01
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When x is divided by 4, the quotient is y and the remainder is 1. When x is divided by 7, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?

A) 4z/7 + 5
B) (7z + 5) / 6
C) (6z + 7) / 4
D) (7z + 5) / 4
E) (4z + 6) / 7

This is easy one.
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Posts: 58404
When x is divided by 4, the quotient is y and the remainder is 1.  [#permalink]

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29 Aug 2014, 14:39
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goodyear2013 wrote:
When x is divided by 4, the quotient is y and the remainder is 1. When x is divided by 7, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?

A) 4z/7 + 5
B) (7z + 5) / 6
C) (6z + 7) / 4
D) (7z + 5) / 4
E) (4z + 6) / 7

This is easy one.

When x is divided by 4, the quotient is y and the remainder is 1: x = 4y + 1.
When x is divided by 7, the quotient is z and the remainder is 6: x = 7z + 6.

Equate those two:
4y + 1 = 7z + 6;
y = (7z + 5)/4.

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Re: When x is divided by 4, the quotient is y and the remainder is 1.  [#permalink]

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01 Oct 2014, 21:56
x = 4y + 1

x = 7z + 6

4y = 7z + 5

$$y = \frac{7z+5}{4}$$

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Joined: 20 Aug 2015
Posts: 386
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Re: When x is divided by 4, the quotient is y and the remainder is 1.  [#permalink]

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10 Dec 2015, 07:32
goodyear2013 wrote:
When x is divided by 4, the quotient is y and the remainder is 1. When x is divided by 7, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?

A) 4z/7 + 5
B) (7z + 5) / 6
C) (6z + 7) / 4
D) (7z + 5) / 4
E) (4z + 6) / 7

This is easy one.

Number = Quotient*Divisor + Remainder

x = 4y + 1 (i)
x = 7z + 6 (ii)

Equating (i) and (ii)
4y + 1 = 7z + 6
y = (7z + 5)/4

Option D
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Re: When x is divided by 4, the quotient is y and the remainder is 1.  [#permalink]

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27 Jun 2017, 15:27
goodyear2013 wrote:
When x is divided by 4, the quotient is y and the remainder is 1. When x is divided by 7, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?

A) 4z/7 + 5
B) (7z + 5) / 6
C) (6z + 7) / 4
D) (7z + 5) / 4
E) (4z + 6) / 7

This is easy one.

X is 13- one way to come with the number is just through trial and error- if x is 13 then z is 1 and y is 3- only D solves for Y

Thus
"D"
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Re: When x is divided by 4, the quotient is y and the remainder is 1.  [#permalink]

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26 Jan 2018, 14:47
Hi All,

This question can be solved in a couple of different ways, but you would likely find the algebra to be fairly straight-forward. From the first two sentences, we can create the following 2 equations:

X/4 = Y remainder 1
X = 4Y + 1

X/7 = Z remainder 6
X = 7Z + 6

Now we can set the two equations equal to one another:

4Y + 1 = 7Z + 6
4Y = 7Z + 5
Y = (7X+5)/4

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Re: When x is divided by 4, the quotient is y and the remainder is 1.   [#permalink] 26 Jan 2018, 14:47
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