Question

1. Fifteen (15) boys went for fruit hunting at Achimota forest on a weekend. They got a certain number (n) of mangoes at the end of their hunting and decided to share it equally. When they divided the (n) mangoes, the remainder was 10. What would have been the remainder if the same (n) mangoes were divided by 7 boys instead of the 15 boys?

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7.5
8
3
4
5

Answer 1

The remainder when the same number of mangoes (n) divided by 15 with a remainder of 10 is divided by 7 instead will be 3.

Step-by-step explanation:

The student's question is a mathematics problem that involves understanding division and remainders.

When the 15 boys divided the mangoes, there was a remainder of 10.

To determine the remainder when the same number of mangoes (n) is divided by 7 boys instead, we need to consider the divisibility of the total mangoes.

Given that the remainder is 10 when divided by 15, the total number of mangoes can be expressed as n = 15k + 10, where k is the quotient when the 15 boys share the mangoes.

When we divide this number by 7, we are looking for the remainder of that division, which can be written as (15k + 10) mod 7.

This expression simplifies using modular arithmetic to (1k + 3) mod 7, which means the remainder is 3 regardless of the value of k.