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A division problem has 49 as its divisor. The partial quotients are 20 and 4. The remainder is 15. What is the dividend?

2 Answers

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User DerLola
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6 votes

Answer:

The dividend is 3935.

Explanation:

Division:

Suppose we have a division of a by b.

a is the dividend, b is the divisor. The result is the quotient, that i will call q, and the rest is given by r.

They are related the following way:

a = q*b + r

That is, the divident is the multiplication of the divisor and the quotient, added by the rest.

The partial quotients are 20 and 4.

This means that the quotient is q = 20*4 = 80.

A division problem has 49 as its divisor. The remainder is 15. What is the dividend?

So b = 49, r = 15. Then

a = q*b + r = 49*80 + 15 = 3935

The dividend is 3935.

User AnnaSchumann
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3.4k points