Mathematics

Lila and Henry earn pocket money by doing chores at home. Lila spends two thirds of her pocket money each week, and Henry spends three quarters of his. Yet they spend the same amount as each other. How much money might Lila and Henry earn each week for this to be true? How many possible answers are there? What is true about all the answers?

Reply 1

MindMax2000

Universities Forum Helper

Original post by love17688

This is a ratio question.

No amount of money for either persons were specified, so we only know the proportions to each other.
Let how much Lila earns be x and what Henry earns be y.

How much Lila spends = how much Henry spends
Simplify this once you have got the proportions down correctly.

The possible number of answers depends on what fits the ratio above. As no definite amounts have been specified, this can be anything from pennies to infinite amounts of money (well past billions of pounds - or one can fantasise).