Question

Sébastien has 2 more pencils than Matthieu, and Amine has four times as many pencils as Matthieu. If Matthew has "x" pencils, the total number of pencils purchased is 148. How many pencils do they each have?

a) Sébastien: x + 2, Matthieu: x, Amine: 4x
b) Sébastien: x - 2, Matthieu: x, Amine: 4x
c) Sébastien: x, Matthieu: x + 2, Amine: 4x
d) Sébastien: x, Matthieu: x - 2, Amine: 4x

Answer 1

The correct answer is (c) Sébastien: x, Matthieu: x + 2, Amine: 4x. By solving an equation based on the given information, we can determine the number of pencils each person has.

Step-by-step explanation:

The correct answer is (c) Sébastien: x, Matthieu: x + 2, Amine: 4x. Based on the given information, we know that Sébastien has 2 more pencils than Matthieu, so Sébastien's number of pencils is x + 2. It is also stated that Amine has four times as many pencils as Matthieu, so Amine's number of pencils is 4x. Now, if we add all three quantities together, the total number of pencils purchased is 148. Therefore, the equation becomes x + (x + 2) + 4x = 148. By solving this equation, we can find the value of x and determine the number of pencils each person has.