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30 October, 03:12

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?

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  1. 30 October, 03:25
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    she spent £270.

    Step-by-step 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
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