When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I. 15.15
II.18.16
III. 17.17

A. I only
B. II only
C. III only
D. I and II only
E. I and III only

Respuesta :

Answer:

The correct answer is D. I and II only

Step-by-step explanation:

Using the following formula to verify all possible options:

[tex]\frac{Number}{Divisor} = Quotient + \frac{Remainder}{Divisor}\\[/tex]

Checking for 15.15:

Quotient = 15

[tex]frac{Remainder}{Divisor} = 0.15\\\frac{60}{y} = 0.15\\\y = \frac{60}{0.15}\\y = \frac{60 * 100}{15}\\y = 400[/tex]

Completely divisible, this means that this option is Correct.

Checking for 18.16:

Quotient = 18

[tex]\frac{Remainder}{Divisor} = 0.16\\\frac{60}{y} = 0.16\\\y = \frac{60}{0.16}\\y = \frac{60 * 100}{16}\\y = 375[/tex]

Completely divisible, this means that this option is Correct.

Checking for 17.17:

Quotient = 17

[tex]\frac{Remainder}{Divisor} = 0.17\\\frac{60}{y} = 0.17\\\y = \frac{60}{0.17}\\y = \frac{60 * 100}{17}\\y = 352.95\\\\[/tex]

Not completely divisible, so this is the wrong choice.