Answer: £17.20
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Explanation:
x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that order
The ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by x
The total amount of tips was 77.40 pounds
This means,
(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips
(2x)+(3x)+(4x) = 77.40
9x = 77.40
x = 77.40/9
x = 8.6
Use that x value to find each of their share of tips
- Paul's Share = 2x = 2*8.6 = 17.20 pounds
- Collin's Share = 3x = 3*8.6 = 25.80 pounds
- Brian's Share = 4x = 4*8.6 = 34.40 pounds
As a check, note how 17.20+25.80+34.40 = 77.40
The last step is to subtract the values for Brian and Paul
34.40 - 17.20 = 17.20
Brian earned £17.20 more in tips compared to Paul.
