When a is divided by b, the quotient is c and the remainder is d...

BTGmoderatorLU wrote: ↑

Sat Jun 27, 2020 2:51 pm

Source: Manhattan Prep

When a is divided by b, the quotient is c and the remainder is d. Which of the following expressions is equal to d?

A. a/b - c
B. a/b + c
C. a - bc
D. ab - c
E. a(b - c)

The OA is C

Solution:

Since we are dividing by b, the remainder d can be expressed fractionally as d/b. Thus, we have:

a/b = c + d/b
a = bc + d

a - bc = d

Answer: C

BTGmoderatorLU wrote: ↑

Sat Jun 27, 2020 2:51 pm

Source: Manhattan Prep

When a is divided by b, the quotient is c and the remainder is d. Which of the following expressions is equal to d?

A. a/b - c
B. a/b + c
C. a - bc
D. ab - c
E. a(b - c)

The OA is C

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 a is divided by b, the quotient is c and the remainder is d.
We can write: a =cb + d
Subtract cb from both sides of the equation to get: a - cb = d

Answer: C

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