Question

Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?

Answer 1

she spent £270.

Explanation:

First, let us define what a ratio of 9:6 means.

when you have a ratio such as this, you have to add both ratios first:

9+6 = 15

This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.

Now let us solve the problem

Savings to spending = 9:6

if total amount = m

ratio saved = 9/15 × m

ratio spent = 6/15 × m

Now total amount (m) = £450

∴ ratio saved = 9/15 × 450 = 4050/15 = £270

Therefore she spent £270.

To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180