Amit saves money every week according to the pattern whereas Bhavna saves according…

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Amit saves money every week according to the pattern 120, 135, 150,…120,\,135,\,150,\dots whereas Bhavna saves according to the pattern 80, 105, 130,…80,\,105,\,130,\dots. (i) After how many weeks will Bhavna’s weekly saving exceed Amit’s weekly saving for the first time? (ii) By the end of that week, who would have saved more in total and by how much?

Related theory

Browse the problem library