Question

Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4

How much does she save and how much does she spend?

Saving = ?
Spending Money = ?

Answer 1

The amount she saves is £450 and the amount she spends is £200.

Explanation:

Given,

The amount she has = £650

The ratio of saving to spending money is 9:4

To find the amount she saves and she spends.

Let,

The amount she saves = 9x

The amount she spends = 4x

According to the problem,

9x+4x = 650

or, 13x = 650

or, x =
`(650)/(13)` = 50

Hence,

The amount she saves = £50×9 = £450

The amount she spends = £50×4 = £200

Answer 2

Saving=£450

Spent=£200

Explanation:

Ratio of saving to spending is 9:4

She inherits £650

So to determine her saving

It will be

9+4=13

Since her saving is 9

So, 9/13 × 650

5850/13

=450

So her saving is£450

To determine what she spent

4/13 × 650

2600/13

200

Saving=£450

Spent=£200