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Pat and Julie share some money in the ratio 2:5 Julie gets ￡45 more than Pat.How much money did Pat get?

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Pat and Julie share some money in the ratio 2:5 Julie gets ￡45 more than Pat.How much money did Pat get?

Pat and Julie share some money in the ratio 2:5 Julie gets ￡45 more than Pat.How much money did Pat get?

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QuentinAdvanced · Tutor for 1 years

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## Step1:<br />The ratio of money shared between Pat and Julie is \( 2: 5 \). This means that for every 2 parts that Pat gets, Julie gets 5 parts.<br /><br />## Step2:<br />The difference in the amount of money Julie and Pat get is \( £ 45 \). This corresponds to the difference in the ratio, which is \( 5 - 2 = 3 \) parts.<br /><br />### \( \text{Value of one part} = \frac{\text{Difference in money}}{\text{Difference in ratio}} = \frac{£ 45}{3} = £ 15 \)<br /><br />## Step3:<br />The value of one part is \( £ 15 \).<br /><br />## Step4:<br />The amount of money Pat gets is \( 2 \times \text{Value of one part} = 2 \times £ 15 = £ 30 \).<br /><br />Pat gets \( £ 30 \).

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## Step1:<br />The problem involves a ratio of money shared between Pat and Julie. The ratio is given as \( 2: 5 \). This means that for every 2 parts that Pat gets, Julie gets 5 parts.<br /><br />## Step2:<br />We are also told that Julie gets \( £ 45 \) more than Pat. This difference corresponds to the difference in the ratio, which is \( 5 - 2 = 3 \) parts.<br /><br />### The formula to find the value of one part is: <br />### \( \text{Value of one part} = \frac{\text{Difference in money}}{\text{Difference in ratio}} \)<br /><br />## Step3:<br />Substitute the given values into the formula to find the value of one part.<br /><br />## Step4:<br />Once we find the value of one part, we can find the amount of money Pat gets by multiplying the value of one part by the number of parts Pat gets (which is 2 according to the ratio).
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