Question
Pat and Julie share some money in the ratio 2:5 Julie gets £45 more than Pat.How much money did Pat get?
Answer
4.6
(314 Votes)
Quentin
Advanced · Tutor for 1 years
Answer
## Step1:The ratio of money shared between Pat and Julie is
. This means that for every 2 parts that Pat gets, Julie gets 5 parts.## Step2:The difference in the amount of money Julie and Pat get is
. This corresponds to the difference in the ratio, which is
parts.###
## Step3:The value of one part is
.## Step4:The amount of money Pat gets is
.Pat gets
.
Explanation
## Step1:The problem involves a ratio of money shared between Pat and Julie. The ratio is given as
. This means that for every 2 parts that Pat gets, Julie gets 5 parts.## Step2:We are also told that Julie gets
more than Pat. This difference corresponds to the difference in the ratio, which is
parts.### The formula to find the value of one part is: ###
## Step3:Substitute the given values into the formula to find the value of one part.## Step4: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).