# Answers to the problem of picking mangoes of grade 5 students

Good students in grade 5 in the international math exam solve math problems by making equations, so you can choose that way or make logical arguments.

A group of boys are picking mangoes, each picking 3 mangoes. Then 3 more boys joined the group. At that time, the boys wanted to divide the mango equally among everyone in the group, but realized that it was impossible. However, a boy picked 1 more mango and now everyone gets 2 equally. How many boys were there in the group at first?

Solution guide:

Method 1: Make an equation

Let n be the number of boys at the beginning. According to the problem, we have 2(n + 3) = 3n + 1. From that, the initial number of male students is n = 5.

Method 2: Logical reasoning

Three male students received 3 x 2 = 6 mangoes, including 1 extra picked and 6 – 1= 5 fruits, which were equally contributed by the old boys, 3 – 2 = 1 each.

From this, the original number of boys was 5 . : 1= 5 (person).

Tran Phuong